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GCF of 5095/947, 5701/5337

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 5095/947, 5701/5337 i.e 1/5054139 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5095/947, 5701/5337.

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 5095/947,5701/5337?

Given fractions are 5095/947,5701/5337

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 5095/947,5701/5337, numerators are 5095,5701

Denominators are 947,5337

The GCF of 5095,5701 is 1 .

LCM of 947,5337 is 5054139.

The greatest common factor of 5095/947,5701/5337 = [GCF of 5095,5701]/[LCM of 947,5337]= 1/5054139

Therefore, the GCF of 5095/947,5701/5337 is 1/5054139.

Greatest Common Factor of 5095,5701

To find the highest common factor of 5095,5701, we have to find the factors of both numbers and list the highest common factor.

The factors of 5095 are 1, 5, 1019, 5095

The factors of 5701 are 1, 5701

The HCF of 5095,5701 is 1.

Lets's calculate GCF of 5095,5701

Greatest Common Factor (GCF) of 5095,5701 By Common Division

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

Greatest Common Factor of 5095,5701 By Matching Biggest Common Factor Method

Greatest Common Factor of 5095,5701 By Matching Biggest Common Factor Method

Now, list down the factors of 5095

:

1,5,1019,5095

Now, list down the factors of 5701

:

1,5701

Greatest Common Factor

We found the factors 5095,5701 . The biggest common factor number is the GCF number.
So the greatest common factor 5095,5701 is 1.

Lets's calculate LCM of 947,5337

Lowest Common Multiple of 947,5337 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5054139

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5054139

Therefore, the GCF of Fractions 5095/947,5701/5337 is 1/5054139

Least Common Multiple of 947,5337 with GCF Formula

Least Common Multiple of 947,5337 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 947,5337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,5337) = 1

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

GCF(947,5337) x common factors =1 x 1 = 1

LCM(947,5337) = ( 947 × 5337 ) / 1

LCM(947,5337) = 5054139 / 1

LCM(947,5337) = 5054139


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5095/947, 5701/5337

1. What is the HCF of 5095,5701?

The HCF of 5095,5701 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 5095/947, 5701/5337?

Answer: GCF of Numerators as per given numbers 5095/947, 5701/5337 is

GCF of Numerators i.e. for 5095,5701 is 1

LCM of denominators i.e. for 947,5337 is 5054139.

Thus, GCF of Fractions is 1/5054139.Finally, GCF of Fractions for 5095/947, 5701/5337 is 1/5054139.