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GCF of 832/71, 452/6250

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 832/71, 452/6250 i.e 4/443750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/71, 452/6250.

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 832/71,452/6250?

Given fractions are 832/71,452/6250

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 832/71,452/6250, numerators are 832,452

Denominators are 71,6250

The GCF of 832,452 is 4 .

LCM of 71,6250 is 443750.

The greatest common factor of 832/71,452/6250 = [GCF of 832,452]/[LCM of 71,6250]= 4/443750

Therefore, the GCF of 832/71,452/6250 is 4/443750.

Greatest Common Factor of 832,452

To find the highest common factor of 832,452, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 452 are 1, 2, 4, 113, 226, 452

The HCF of 832,452 is 4.

Lets's calculate GCF of 832,452

Greatest Common Factor (GCF) of 832,452 By Common Division

2 832, 452
2 416, 226
208, 113

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 832,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,452 By Matching Biggest Common Factor Method

Now, list down the factors of 832

:

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

Now, list down the factors of 452

:

1,2,4,113,226,452

Greatest Common Factor

We found the factors 832,452 . The biggest common factor number is the GCF number.
So the greatest common factor 832,452 is 4.


Lets's calculate LCM of 71,6250

Lowest Common Multiple of 71,6250 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 443750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/443750

Therefore, the GCF of Fractions 832/71,452/6250 is 4/443750

Least Common Multiple of 71,6250 with GCF Formula

Least Common Multiple of 71,6250 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 71,6250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,6250) = 1

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

GCF(71,6250) x common factors =1 x 1 = 1

LCM(71,6250) = ( 71 × 6250 ) / 1

LCM(71,6250) = 443750 / 1

LCM(71,6250) = 443750


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 832/71, 452/6250

1. What is the HCF of 832,452?

The HCF of 832,452 is 4

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 832/71, 452/6250?

Answer: GCF of Numerators as per given numbers 832/71, 452/6250 is

GCF of Numerators i.e. for 832,452 is 4

LCM of denominators i.e. for 71,6250 is 443750.

Thus, GCF of Fractions is 4/443750.Finally, GCF of Fractions for 832/71, 452/6250 is 4/443750.