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GCF of 623/904, 3907/136

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 623/904, 3907/136 i.e 1/15368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 623/904, 3907/136.

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 623/904,3907/136?

Given fractions are 623/904,3907/136

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 623/904,3907/136, numerators are 623,3907

Denominators are 904,136

The GCF of 623,3907 is 1 .

LCM of 904,136 is 15368.

The greatest common factor of 623/904,3907/136 = [GCF of 623,3907]/[LCM of 904,136]= 1/15368

Therefore, the GCF of 623/904,3907/136 is 1/15368.

Greatest Common Factor of 623,3907

To find the highest common factor of 623,3907, we have to find the factors of both numbers and list the highest common factor.

The factors of 623 are 1, 7, 89, 623

The factors of 3907 are 1, 3907

The HCF of 623,3907 is 1.

Lets's calculate GCF of 623,3907

Greatest Common Factor (GCF) of 623,3907 By Common Division

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

Greatest Common Factor of 623,3907 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,3907 By Matching Biggest Common Factor Method

Now, list down the factors of 623

:

1,7,89,623

Now, list down the factors of 3907

:

1,3907

Greatest Common Factor

We found the factors 623,3907 . The biggest common factor number is the GCF number.
So the greatest common factor 623,3907 is 1.

Lets's calculate LCM of 904,136

Lowest Common Multiple of 904,136 using Common Division

2 904, 136
2 452, 68
2 226, 34
113, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 113 x 17 = 15368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15368

Therefore, the GCF of Fractions 623/904,3907/136 is 1/15368

Least Common Multiple of 904,136 with GCF Formula

Least Common Multiple of 904,136 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 904,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,136) = 8

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

GCF(904,136) x common factors =8 x 1 = 8

LCM(904,136) = ( 904 × 136 ) / 8

LCM(904,136) = 122944 / 8

LCM(904,136) = 15368


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FAQs on GCF of Fractions of 623/904, 3907/136

1. What is the HCF of 623,3907?

The HCF of 623,3907 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 623/904, 3907/136?

Answer: GCF of Numerators as per given numbers 623/904, 3907/136 is

GCF of Numerators i.e. for 623,3907 is 1

LCM of denominators i.e. for 904,136 is 15368.

Thus, GCF of Fractions is 1/15368.Finally, GCF of Fractions for 623/904, 3907/136 is 1/15368.