How to Find GCF of 1251/922, 9359/5802?

GCF of 1251/922, 9359/5802

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 1251/922, 9359/5802 i.e 1/2674722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1251/922, 9359/5802.

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 1251/922,9359/5802?

Given fractions are 1251/922,9359/5802

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 1251/922,9359/5802, numerators are 1251,9359

Denominators are 922,5802

The GCF of 1251,9359 is 1 .

LCM of 922,5802 is 2674722.

The greatest common factor of 1251/922,9359/5802 = [GCF of 1251,9359]/[LCM of 922,5802]= 1/2674722

Therefore, the GCF of 1251/922,9359/5802 is 1/2674722.

Greatest Common Factor of 1251,9359

To find the highest common factor of 1251,9359, 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 9359 are 1, 7, 49, 191, 1337, 9359

The HCF of 1251,9359 is 1.

Lets's calculate GCF of 1251,9359

Greatest Common Factor (GCF) of 1251,9359 By Common Division

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

Greatest Common Factor of 1251,9359 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 9359

1,7,49,191,1337,9359

Greatest Common Factor

We found the factors 1251,9359 . The biggest common factor number is the GCF number.
So the greatest common factor 1251,9359 is 1.

Lets's calculate LCM of 922,5802

Lowest Common Multiple of 922,5802 using Common Division

2	922, 5802
	461, 2901

∴ So the LCM of the given numbers is 2 x 461 x 2901 = 2674722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2674722

Therefore, the GCF of Fractions 1251/922,9359/5802 is 1/2674722

Least Common Multiple of 922,5802 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 922,5802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,5802) = 2

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

GCF(922,5802) x common factors =2 x 1 = 2

LCM(922,5802) = ( 922 × 5802 ) / 2

LCM(922,5802) = 5349444 / 2

LCM(922,5802) = 2674722

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FAQs on GCF of Fractions of 1251/922, 9359/5802

1. What is the HCF of 1251,9359?

The HCF of 1251,9359 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 1251/922, 9359/5802?

Answer: GCF of Numerators as per given numbers 1251/922, 9359/5802 is

GCF of Numerators i.e. for 1251,9359 is 1

LCM of denominators i.e. for 922,5802 is 2674722.

Thus, GCF of Fractions is 1/2674722.Finally, GCF of Fractions for 1251/922, 9359/5802 is 1/2674722.