LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 611/706, 832/152

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 611/706, 832/152 i.e 13/53656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 611/706, 832/152.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 611/706,832/152?

Given fractions are 611/706,832/152

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 611/706,832/152, numerators are 611,832

Denominators are 706,152

The GCF of 611,832 is 13 .

LCM of 706,152 is 53656.

The greatest common factor of 611/706,832/152 = [GCF of 611,832]/[LCM of 706,152]= 13/53656

Therefore, the GCF of 611/706,832/152 is 13/53656.

Greatest Common Factor of 611,832

To find the highest common factor of 611,832, we have to find the factors of both numbers and list the highest common factor.

The factors of 611 are 1, 13, 47, 611

The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

The HCF of 611,832 is 13.

Lets's calculate GCF of 611,832

Greatest Common Factor (GCF) of 611,832 By Common Division

13 611, 832
47, 64

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 611,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,832 By Matching Biggest Common Factor Method

Now, list down the factors of 611

:

1,13,47,611

Now, list down the factors of 832

:

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 611,832 . The biggest common factor number is the GCF number.
So the greatest common factor 611,832 is 13.


Lets's calculate LCM of 706,152

Lowest Common Multiple of 706,152 using Common Division

2 706, 152
353, 76

∴ So the LCM of the given numbers is 2 x 353 x 76 = 53656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/53656

Therefore, the GCF of Fractions 611/706,832/152 is 13/53656

Least Common Multiple of 706,152 with GCF Formula

Least Common Multiple of 706,152 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 706,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,152) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(706,152) x common factors =2 x 1 = 2

LCM(706,152) = ( 706 × 152 ) / 2

LCM(706,152) = 107312 / 2

LCM(706,152) = 53656


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 611/706, 832/152

1. What is the HCF of 611,832?

The HCF of 611,832 is 13

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 611/706, 832/152?

Answer: GCF of Numerators as per given numbers 611/706, 832/152 is

GCF of Numerators i.e. for 611,832 is 13

LCM of denominators i.e. for 706,152 is 53656.

Thus, GCF of Fractions is 13/53656.Finally, GCF of Fractions for 611/706, 832/152 is 13/53656.