How to Find GCF of 3875/924, 6817/4312?

GCF of 3875/924, 6817/4312

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 3875/924, 6817/4312 i.e 1/12936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3875/924, 6817/4312.

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 3875/924,6817/4312?

Given fractions are 3875/924,6817/4312

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 3875/924,6817/4312, numerators are 3875,6817

Denominators are 924,4312

The GCF of 3875,6817 is 1 .

LCM of 924,4312 is 12936.

The greatest common factor of 3875/924,6817/4312 = [GCF of 3875,6817]/[LCM of 924,4312]= 1/12936

Therefore, the GCF of 3875/924,6817/4312 is 1/12936.

Greatest Common Factor of 3875,6817

To find the highest common factor of 3875,6817, we have to find the factors of both numbers and list the highest common factor.

The factors of 3875 are 1, 5, 25, 31, 125, 155, 775, 3875

The factors of 6817 are 1, 17, 401, 6817

The HCF of 3875,6817 is 1.

Lets's calculate GCF of 3875,6817

Greatest Common Factor (GCF) of 3875,6817 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3875,6817 By Matching Biggest Common Factor Method

Now, list down the factors of 3875

1,5,25,31,125,155,775,3875

Now, list down the factors of 6817

1,17,401,6817

Greatest Common Factor

We found the factors 3875,6817 . The biggest common factor number is the GCF number.
So the greatest common factor 3875,6817 is 1.

Lets's calculate LCM of 924,4312

Lowest Common Multiple of 924,4312 using Common Division

2	924, 4312
2	462, 2156
7	231, 1078
11	33, 154
	3, 14

∴ So the LCM of the given numbers is 2 x 2 x 7 x 11 x 3 x 14 = 12936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12936

Therefore, the GCF of Fractions 3875/924,6817/4312 is 1/12936

Least Common Multiple of 924,4312 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 924,4312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,4312) = 308

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

GCF(924,4312) x common factors =308 x 1 = 308

LCM(924,4312) = ( 924 × 4312 ) / 308

LCM(924,4312) = 3984288 / 308

LCM(924,4312) = 12936

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FAQs on GCF of Fractions of 3875/924, 6817/4312

1. What is the HCF of 3875,6817?

The HCF of 3875,6817 is 1

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 3875/924, 6817/4312?

Answer: GCF of Numerators as per given numbers 3875/924, 6817/4312 is

GCF of Numerators i.e. for 3875,6817 is 1

LCM of denominators i.e. for 924,4312 is 12936.

Thus, GCF of Fractions is 1/12936.Finally, GCF of Fractions for 3875/924, 6817/4312 is 1/12936.