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GCF of 610/426, 2153/414

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 610/426, 2153/414 i.e 1/29394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 610/426, 2153/414.

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 610/426,2153/414?

Given fractions are 610/426,2153/414

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 610/426,2153/414, numerators are 610,2153

Denominators are 426,414

The GCF of 610,2153 is 1 .

LCM of 426,414 is 29394.

The greatest common factor of 610/426,2153/414 = [GCF of 610,2153]/[LCM of 426,414]= 1/29394

Therefore, the GCF of 610/426,2153/414 is 1/29394.

Greatest Common Factor of 610,2153

To find the highest common factor of 610,2153, we have to find the factors of both numbers and list the highest common factor.

The factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610

The factors of 2153 are 1, 2153

The HCF of 610,2153 is 1.

Lets's calculate GCF of 610,2153

Greatest Common Factor (GCF) of 610,2153 By Common Division

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

Greatest Common Factor of 610,2153 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,2153 By Matching Biggest Common Factor Method

Now, list down the factors of 610

:

1,2,5,10,61,122,305,610

Now, list down the factors of 2153

:

1,2153

Greatest Common Factor

We found the factors 610,2153 . The biggest common factor number is the GCF number.
So the greatest common factor 610,2153 is 1.

Lets's calculate LCM of 426,414

Lowest Common Multiple of 426,414 using Common Division

2 426, 414
3 213, 207
71, 69

∴ So the LCM of the given numbers is 2 x 3 x 71 x 69 = 29394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29394

Therefore, the GCF of Fractions 610/426,2153/414 is 1/29394

Least Common Multiple of 426,414 with GCF Formula

Least Common Multiple of 426,414 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 426,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,414) = 6

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

GCF(426,414) x common factors =6 x 1 = 6

LCM(426,414) = ( 426 × 414 ) / 6

LCM(426,414) = 176364 / 6

LCM(426,414) = 29394


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FAQs on GCF of Fractions of 610/426, 2153/414

1. What is the HCF of 610,2153?

The HCF of 610,2153 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 610/426, 2153/414?

Answer: GCF of Numerators as per given numbers 610/426, 2153/414 is

GCF of Numerators i.e. for 610,2153 is 1

LCM of denominators i.e. for 426,414 is 29394.

Thus, GCF of Fractions is 1/29394.Finally, GCF of Fractions for 610/426, 2153/414 is 1/29394.