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GCF of 5156/214, 4643/6969

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 5156/214, 4643/6969 i.e 1/1491366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5156/214, 4643/6969.

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 5156/214,4643/6969?

Given fractions are 5156/214,4643/6969

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 5156/214,4643/6969, numerators are 5156,4643

Denominators are 214,6969

The GCF of 5156,4643 is 1 .

LCM of 214,6969 is 1491366.

The greatest common factor of 5156/214,4643/6969 = [GCF of 5156,4643]/[LCM of 214,6969]= 1/1491366

Therefore, the GCF of 5156/214,4643/6969 is 1/1491366.

Greatest Common Factor of 5156,4643

To find the highest common factor of 5156,4643, we have to find the factors of both numbers and list the highest common factor.

The factors of 5156 are 1, 2, 4, 1289, 2578, 5156

The factors of 4643 are 1, 4643

The HCF of 5156,4643 is 1.

Lets's calculate GCF of 5156,4643

Greatest Common Factor (GCF) of 5156,4643 By Common Division

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

Greatest Common Factor of 5156,4643 By Matching Biggest Common Factor Method

Greatest Common Factor of 5156,4643 By Matching Biggest Common Factor Method

Now, list down the factors of 5156

:

1,2,4,1289,2578,5156

Now, list down the factors of 4643

:

1,4643

Greatest Common Factor

We found the factors 5156,4643 . The biggest common factor number is the GCF number.
So the greatest common factor 5156,4643 is 1.

Lets's calculate LCM of 214,6969

Lowest Common Multiple of 214,6969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1491366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1491366

Therefore, the GCF of Fractions 5156/214,4643/6969 is 1/1491366

Least Common Multiple of 214,6969 with GCF Formula

Least Common Multiple of 214,6969 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 214,6969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,6969) = 1

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

GCF(214,6969) x common factors =1 x 1 = 1

LCM(214,6969) = ( 214 × 6969 ) / 1

LCM(214,6969) = 1491366 / 1

LCM(214,6969) = 1491366


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FAQs on GCF of Fractions of 5156/214, 4643/6969

1. What is the HCF of 5156,4643?

The HCF of 5156,4643 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 5156/214, 4643/6969?

Answer: GCF of Numerators as per given numbers 5156/214, 4643/6969 is

GCF of Numerators i.e. for 5156,4643 is 1

LCM of denominators i.e. for 214,6969 is 1491366.

Thus, GCF of Fractions is 1/1491366.Finally, GCF of Fractions for 5156/214, 4643/6969 is 1/1491366.