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GCF of 956/802, 733/142

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 956/802, 733/142 i.e 1/56942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 956/802, 733/142.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 956/802,733/142?

Given fractions are 956/802,733/142

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 956/802,733/142, numerators are 956,733

Denominators are 802,142

The GCF of 956,733 is 1 .

LCM of 802,142 is 56942.

The greatest common factor of 956/802,733/142 = [GCF of 956,733]/[LCM of 802,142]= 1/56942

Therefore, the GCF of 956/802,733/142 is 1/56942.

Greatest Common Factor of 956,733

To find the highest common factor of 956,733, we have to find the factors of both numbers and list the highest common factor.

The factors of 956 are 1, 2, 4, 239, 478, 956

The factors of 733 are 1, 733

The HCF of 956,733 is 1.

Lets's calculate GCF of 956,733

Greatest Common Factor (GCF) of 956,733 By Common Division

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

Greatest Common Factor of 956,733 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,733 By Matching Biggest Common Factor Method

Now, list down the factors of 956

:

1,2,4,239,478,956

Now, list down the factors of 733

:

1,733

Greatest Common Factor

We found the factors 956,733 . The biggest common factor number is the GCF number.
So the greatest common factor 956,733 is 1.

Lets's calculate LCM of 802,142

Lowest Common Multiple of 802,142 using Common Division

2 802, 142
401, 71

∴ So the LCM of the given numbers is 2 x 401 x 71 = 56942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56942

Therefore, the GCF of Fractions 956/802,733/142 is 1/56942

Least Common Multiple of 802,142 with GCF Formula

Least Common Multiple of 802,142 with GCF Formula

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

We need to calculate greatest common factor of 802,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,142) = 2

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

GCF(802,142) x common factors =2 x 1 = 2

LCM(802,142) = ( 802 × 142 ) / 2

LCM(802,142) = 113884 / 2

LCM(802,142) = 56942


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FAQs on GCF of Fractions of 956/802, 733/142

1. What is the HCF of 956,733?

The HCF of 956,733 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 956/802, 733/142?

Answer: GCF of Numerators as per given numbers 956/802, 733/142 is

GCF of Numerators i.e. for 956,733 is 1

LCM of denominators i.e. for 802,142 is 56942.

Thus, GCF of Fractions is 1/56942.Finally, GCF of Fractions for 956/802, 733/142 is 1/56942.