How to Find GCF of 2953/403, 6890/689?

GCF of 2953/403, 6890/689

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 2953/403, 6890/689 i.e 1/21359 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2953/403, 6890/689.

Enter two or more fractions separated by "commas"

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

What is the GCF of 2953/403,6890/689?

Given fractions are 2953/403,6890/689

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 2953/403,6890/689, numerators are 2953,6890

Denominators are 403,689

The GCF of 2953,6890 is 1 .

LCM of 403,689 is 21359.

The greatest common factor of 2953/403,6890/689 = [GCF of 2953,6890]/[LCM of 403,689]= 1/21359

Therefore, the GCF of 2953/403,6890/689 is 1/21359.

Greatest Common Factor of 2953,6890

To find the highest common factor of 2953,6890, we have to find the factors of both numbers and list the highest common factor.

The factors of 2953 are 1, 2953

The factors of 6890 are 1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890

The HCF of 2953,6890 is 1.

Lets's calculate GCF of 2953,6890

Greatest Common Factor (GCF) of 2953,6890 By Common Division

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

Greatest Common Factor of 2953,6890 By Matching Biggest Common Factor Method

Now, list down the factors of 2953

1,2953

Now, list down the factors of 6890

1,2,5,10,13,26,53,65,106,130,265,530,689,1378,3445,6890

Greatest Common Factor

We found the factors 2953,6890 . The biggest common factor number is the GCF number.
So the greatest common factor 2953,6890 is 1.

Lets's calculate LCM of 403,689

Lowest Common Multiple of 403,689 using Common Division

13	403, 689
	31, 53

∴ So the LCM of the given numbers is 13 x 31 x 53 = 21359

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21359

Therefore, the GCF of Fractions 2953/403,6890/689 is 1/21359

Least Common Multiple of 403,689 with GCF Formula

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

We need to calculate greatest common factor of 403,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,689) = 13

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

GCF(403,689) x common factors =13 x 1 = 13

LCM(403,689) = ( 403 × 689 ) / 13

LCM(403,689) = 277667 / 13

LCM(403,689) = 21359

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FAQs on GCF of Fractions of 2953/403, 6890/689

1. What is the HCF of 2953,6890?

The HCF of 2953,6890 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 2953/403, 6890/689?

Answer: GCF of Numerators as per given numbers 2953/403, 6890/689 is

GCF of Numerators i.e. for 2953,6890 is 1

LCM of denominators i.e. for 403,689 is 21359.

Thus, GCF of Fractions is 1/21359.Finally, GCF of Fractions for 2953/403, 6890/689 is 1/21359.