How to Find GCF of 1251/612, 3491/8264?

GCF of 1251/612, 3491/8264

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 1251/612, 3491/8264 i.e 1/1264392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1251/612, 3491/8264.

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 1251/612,3491/8264?

Given fractions are 1251/612,3491/8264

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 1251/612,3491/8264, numerators are 1251,3491

Denominators are 612,8264

The GCF of 1251,3491 is 1 .

LCM of 612,8264 is 1264392.

The greatest common factor of 1251/612,3491/8264 = [GCF of 1251,3491]/[LCM of 612,8264]= 1/1264392

Therefore, the GCF of 1251/612,3491/8264 is 1/1264392.

Greatest Common Factor of 1251,3491

To find the highest common factor of 1251,3491, we have to find the factors of both numbers and list the highest common factor.

The factors of 1251 are 1, 3, 9, 139, 417, 1251

The factors of 3491 are 1, 3491

The HCF of 1251,3491 is 1.

Lets's calculate GCF of 1251,3491

Greatest Common Factor (GCF) of 1251,3491 By Common Division

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

Greatest Common Factor of 1251,3491 By Matching Biggest Common Factor Method

Now, list down the factors of 1251

1,3,9,139,417,1251

Now, list down the factors of 3491

1,3491

Greatest Common Factor

We found the factors 1251,3491 . The biggest common factor number is the GCF number.
So the greatest common factor 1251,3491 is 1.

Lets's calculate LCM of 612,8264

Lowest Common Multiple of 612,8264 using Common Division

2	612, 8264
2	306, 4132
	153, 2066

∴ So the LCM of the given numbers is 2 x 2 x 153 x 2066 = 1264392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1264392

Therefore, the GCF of Fractions 1251/612,3491/8264 is 1/1264392

Least Common Multiple of 612,8264 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 612,8264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,8264) = 4

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

GCF(612,8264) x common factors =4 x 1 = 4

LCM(612,8264) = ( 612 × 8264 ) / 4

LCM(612,8264) = 5057568 / 4

LCM(612,8264) = 1264392

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FAQs on GCF of Fractions of 1251/612, 3491/8264

1. What is the HCF of 1251,3491?

The HCF of 1251,3491 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 1251/612, 3491/8264?

Answer: GCF of Numerators as per given numbers 1251/612, 3491/8264 is

GCF of Numerators i.e. for 1251,3491 is 1

LCM of denominators i.e. for 612,8264 is 1264392.

Thus, GCF of Fractions is 1/1264392.Finally, GCF of Fractions for 1251/612, 3491/8264 is 1/1264392.