How to Find GCF of 722/952, 1301/848?

GCF of 722/952, 1301/848

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 722/952, 1301/848 i.e 1/100912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 722/952, 1301/848.

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 722/952,1301/848?

Given fractions are 722/952,1301/848

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 722/952,1301/848, numerators are 722,1301

Denominators are 952,848

The GCF of 722,1301 is 1 .

LCM of 952,848 is 100912.

The greatest common factor of 722/952,1301/848 = [GCF of 722,1301]/[LCM of 952,848]= 1/100912

Therefore, the GCF of 722/952,1301/848 is 1/100912.

Greatest Common Factor of 722,1301

To find the highest common factor of 722,1301, we have to find the factors of both numbers and list the highest common factor.

The factors of 722 are 1, 2, 19, 38, 361, 722

The factors of 1301 are 1, 1301

The HCF of 722,1301 is 1.

Lets's calculate GCF of 722,1301

Greatest Common Factor (GCF) of 722,1301 By Common Division

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

Greatest Common Factor of 722,1301 By Matching Biggest Common Factor Method

Now, list down the factors of 722

1,2,19,38,361,722

Now, list down the factors of 1301

1,1301

Greatest Common Factor

We found the factors 722,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 722,1301 is 1.

Lets's calculate LCM of 952,848

Lowest Common Multiple of 952,848 using Common Division

2	952, 848
2	476, 424
2	238, 212
	119, 106

∴ So the LCM of the given numbers is 2 x 2 x 2 x 119 x 106 = 100912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100912

Therefore, the GCF of Fractions 722/952,1301/848 is 1/100912

Least Common Multiple of 952,848 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 952,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,848) = 8

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

GCF(952,848) x common factors =8 x 1 = 8

LCM(952,848) = ( 952 × 848 ) / 8

LCM(952,848) = 807296 / 8

LCM(952,848) = 100912

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FAQs on GCF of Fractions of 722/952, 1301/848

1. What is the HCF of 722,1301?

The HCF of 722,1301 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 722/952, 1301/848?

Answer: GCF of Numerators as per given numbers 722/952, 1301/848 is

GCF of Numerators i.e. for 722,1301 is 1

LCM of denominators i.e. for 952,848 is 100912.

Thus, GCF of Fractions is 1/100912.Finally, GCF of Fractions for 722/952, 1301/848 is 1/100912.