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GCF of 7123/140, 2623/5674

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 7123/140, 2623/5674 i.e 1/397180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7123/140, 2623/5674.

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 7123/140,2623/5674?

Given fractions are 7123/140,2623/5674

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 7123/140,2623/5674, numerators are 7123,2623

Denominators are 140,5674

The GCF of 7123,2623 is 1 .

LCM of 140,5674 is 397180.

The greatest common factor of 7123/140,2623/5674 = [GCF of 7123,2623]/[LCM of 140,5674]= 1/397180

Therefore, the GCF of 7123/140,2623/5674 is 1/397180.

Greatest Common Factor of 7123,2623

To find the highest common factor of 7123,2623, we have to find the factors of both numbers and list the highest common factor.

The factors of 7123 are 1, 17, 419, 7123

The factors of 2623 are 1, 43, 61, 2623

The HCF of 7123,2623 is 1.

Lets's calculate GCF of 7123,2623

Greatest Common Factor (GCF) of 7123,2623 By Common Division

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

Greatest Common Factor of 7123,2623 By Matching Biggest Common Factor Method

Greatest Common Factor of 7123,2623 By Matching Biggest Common Factor Method

Now, list down the factors of 7123

:

1,17,419,7123

Now, list down the factors of 2623

:

1,43,61,2623

Greatest Common Factor

We found the factors 7123,2623 . The biggest common factor number is the GCF number.
So the greatest common factor 7123,2623 is 1.

Lets's calculate LCM of 140,5674

Lowest Common Multiple of 140,5674 using Common Division

2 140, 5674
70, 2837

∴ So the LCM of the given numbers is 2 x 70 x 2837 = 397180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397180

Therefore, the GCF of Fractions 7123/140,2623/5674 is 1/397180

Least Common Multiple of 140,5674 with GCF Formula

Least Common Multiple of 140,5674 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 140,5674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,5674) = 2

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

GCF(140,5674) x common factors =2 x 1 = 2

LCM(140,5674) = ( 140 × 5674 ) / 2

LCM(140,5674) = 794360 / 2

LCM(140,5674) = 397180


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FAQs on GCF of Fractions of 7123/140, 2623/5674

1. What is the HCF of 7123,2623?

The HCF of 7123,2623 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 7123/140, 2623/5674?

Answer: GCF of Numerators as per given numbers 7123/140, 2623/5674 is

GCF of Numerators i.e. for 7123,2623 is 1

LCM of denominators i.e. for 140,5674 is 397180.

Thus, GCF of Fractions is 1/397180.Finally, GCF of Fractions for 7123/140, 2623/5674 is 1/397180.