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GCF of 5163/956, 6374/333

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 5163/956, 6374/333 i.e 1/318348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5163/956, 6374/333.

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 5163/956,6374/333?

Given fractions are 5163/956,6374/333

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 5163/956,6374/333, numerators are 5163,6374

Denominators are 956,333

The GCF of 5163,6374 is 1 .

LCM of 956,333 is 318348.

The greatest common factor of 5163/956,6374/333 = [GCF of 5163,6374]/[LCM of 956,333]= 1/318348

Therefore, the GCF of 5163/956,6374/333 is 1/318348.

Greatest Common Factor of 5163,6374

To find the highest common factor of 5163,6374, we have to find the factors of both numbers and list the highest common factor.

The factors of 5163 are 1, 3, 1721, 5163

The factors of 6374 are 1, 2, 3187, 6374

The HCF of 5163,6374 is 1.

Lets's calculate GCF of 5163,6374

Greatest Common Factor (GCF) of 5163,6374 By Common Division

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

Greatest Common Factor of 5163,6374 By Matching Biggest Common Factor Method

Greatest Common Factor of 5163,6374 By Matching Biggest Common Factor Method

Now, list down the factors of 5163

:

1,3,1721,5163

Now, list down the factors of 6374

:

1,2,3187,6374

Greatest Common Factor

We found the factors 5163,6374 . The biggest common factor number is the GCF number.
So the greatest common factor 5163,6374 is 1.

Lets's calculate LCM of 956,333

Lowest Common Multiple of 956,333 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 318348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/318348

Therefore, the GCF of Fractions 5163/956,6374/333 is 1/318348

Least Common Multiple of 956,333 with GCF Formula

Least Common Multiple of 956,333 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 956,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,333) = 1

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

GCF(956,333) x common factors =1 x 1 = 1

LCM(956,333) = ( 956 × 333 ) / 1

LCM(956,333) = 318348 / 1

LCM(956,333) = 318348


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FAQs on GCF of Fractions of 5163/956, 6374/333

1. What is the HCF of 5163,6374?

The HCF of 5163,6374 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 5163/956, 6374/333?

Answer: GCF of Numerators as per given numbers 5163/956, 6374/333 is

GCF of Numerators i.e. for 5163,6374 is 1

LCM of denominators i.e. for 956,333 is 318348.

Thus, GCF of Fractions is 1/318348.Finally, GCF of Fractions for 5163/956, 6374/333 is 1/318348.