How to Find GCF of 832/25, 264/124?

GCF of 832/25, 264/124

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 832/25, 264/124 i.e 8/3100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 832/25, 264/124.

Enter two or more fractions separated by "commas"

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

What is the GCF of 832/25,264/124?

Given fractions are 832/25,264/124

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 832/25,264/124, numerators are 832,264

Denominators are 25,124

The GCF of 832,264 is 8 .

LCM of 25,124 is 3100.

The greatest common factor of 832/25,264/124 = [GCF of 832,264]/[LCM of 25,124]= 8/3100

Therefore, the GCF of 832/25,264/124 is 8/3100.

Greatest Common Factor of 832,264

To find the highest common factor of 832,264, 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 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

The HCF of 832,264 is 8.

Lets's calculate GCF of 832,264

Greatest Common Factor (GCF) of 832,264 By Common Division

2	832, 264
2	416, 132
2	208, 66
	104, 33

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 832,264 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 264

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 832,264 . The biggest common factor number is the GCF number.
So the greatest common factor 832,264 is 8.

Lets's calculate LCM of 25,124

Lowest Common Multiple of 25,124 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3100

Therefore, the GCF of Fractions 832/25,264/124 is 8/3100

Least Common Multiple of 25,124 with GCF Formula

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

We need to calculate greatest common factor of 25,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,124) = 1

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

GCF(25,124) x common factors =1 x 1 = 1

LCM(25,124) = ( 25 × 124 ) / 1

LCM(25,124) = 3100 / 1

LCM(25,124) = 3100

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FAQs on GCF of Fractions of 832/25, 264/124

1. What is the HCF of 832,264?

The HCF of 832,264 is 8

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 832/25, 264/124?

Answer: GCF of Numerators as per given numbers 832/25, 264/124 is

GCF of Numerators i.e. for 832,264 is 8

LCM of denominators i.e. for 25,124 is 3100.

Thus, GCF of Fractions is 8/3100.Finally, GCF of Fractions for 832/25, 264/124 is 8/3100.