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GCF of 832/60, 143/767

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 832/60, 143/767 i.e 13/46020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/60, 143/767.

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 832/60,143/767?

Given fractions are 832/60,143/767

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 832/60,143/767, numerators are 832,143

Denominators are 60,767

The GCF of 832,143 is 13 .

LCM of 60,767 is 46020.

The greatest common factor of 832/60,143/767 = [GCF of 832,143]/[LCM of 60,767]= 13/46020

Therefore, the GCF of 832/60,143/767 is 13/46020.

Greatest Common Factor of 832,143

To find the highest common factor of 832,143, 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 143 are 1, 11, 13, 143

The HCF of 832,143 is 13.

Lets's calculate GCF of 832,143

Greatest Common Factor (GCF) of 832,143 By Common Division

13 832, 143
64, 11

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

Greatest Common Factor of 832,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,143 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 143

:

1,11,13,143

Greatest Common Factor

We found the factors 832,143 . The biggest common factor number is the GCF number.
So the greatest common factor 832,143 is 13.

Lets's calculate LCM of 60,767

Lowest Common Multiple of 60,767 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 46020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/46020

Therefore, the GCF of Fractions 832/60,143/767 is 13/46020

Least Common Multiple of 60,767 with GCF Formula

Least Common Multiple of 60,767 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 60,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,767) = 1

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

GCF(60,767) x common factors =1 x 1 = 1

LCM(60,767) = ( 60 × 767 ) / 1

LCM(60,767) = 46020 / 1

LCM(60,767) = 46020


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FAQs on GCF of Fractions of 832/60, 143/767

1. What is the HCF of 832,143?

The HCF of 832,143 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 832/60, 143/767?

Answer: GCF of Numerators as per given numbers 832/60, 143/767 is

GCF of Numerators i.e. for 832,143 is 13

LCM of denominators i.e. for 60,767 is 46020.

Thus, GCF of Fractions is 13/46020.Finally, GCF of Fractions for 832/60, 143/767 is 13/46020.