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GCF of 5953/310, 8314/6284

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 5953/310, 8314/6284 i.e 1/974020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5953/310, 8314/6284.

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 5953/310,8314/6284?

Given fractions are 5953/310,8314/6284

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 5953/310,8314/6284, numerators are 5953,8314

Denominators are 310,6284

The GCF of 5953,8314 is 1 .

LCM of 310,6284 is 974020.

The greatest common factor of 5953/310,8314/6284 = [GCF of 5953,8314]/[LCM of 310,6284]= 1/974020

Therefore, the GCF of 5953/310,8314/6284 is 1/974020.

Greatest Common Factor of 5953,8314

To find the highest common factor of 5953,8314, we have to find the factors of both numbers and list the highest common factor.

The factors of 5953 are 1, 5953

The factors of 8314 are 1, 2, 4157, 8314

The HCF of 5953,8314 is 1.

Lets's calculate GCF of 5953,8314

Greatest Common Factor (GCF) of 5953,8314 By Common Division

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

Greatest Common Factor of 5953,8314 By Matching Biggest Common Factor Method

Greatest Common Factor of 5953,8314 By Matching Biggest Common Factor Method

Now, list down the factors of 5953

:

1,5953

Now, list down the factors of 8314

:

1,2,4157,8314

Greatest Common Factor

We found the factors 5953,8314 . The biggest common factor number is the GCF number.
So the greatest common factor 5953,8314 is 1.

Lets's calculate LCM of 310,6284

Lowest Common Multiple of 310,6284 using Common Division

2 310, 6284
155, 3142

∴ So the LCM of the given numbers is 2 x 155 x 3142 = 974020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/974020

Therefore, the GCF of Fractions 5953/310,8314/6284 is 1/974020

Least Common Multiple of 310,6284 with GCF Formula

Least Common Multiple of 310,6284 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 310,6284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,6284) = 2

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

GCF(310,6284) x common factors =2 x 1 = 2

LCM(310,6284) = ( 310 × 6284 ) / 2

LCM(310,6284) = 1948040 / 2

LCM(310,6284) = 974020


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FAQs on GCF of Fractions of 5953/310, 8314/6284

1. What is the HCF of 5953,8314?

The HCF of 5953,8314 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 5953/310, 8314/6284?

Answer: GCF of Numerators as per given numbers 5953/310, 8314/6284 is

GCF of Numerators i.e. for 5953,8314 is 1

LCM of denominators i.e. for 310,6284 is 974020.

Thus, GCF of Fractions is 1/974020.Finally, GCF of Fractions for 5953/310, 8314/6284 is 1/974020.