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GCF of 139/904, 5638/867

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 139/904, 5638/867 i.e 1/783768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 139/904, 5638/867.

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 139/904,5638/867?

Given fractions are 139/904,5638/867

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 139/904,5638/867, numerators are 139,5638

Denominators are 904,867

The GCF of 139,5638 is 1 .

LCM of 904,867 is 783768.

The greatest common factor of 139/904,5638/867 = [GCF of 139,5638]/[LCM of 904,867]= 1/783768

Therefore, the GCF of 139/904,5638/867 is 1/783768.

Greatest Common Factor of 139,5638

To find the highest common factor of 139,5638, we have to find the factors of both numbers and list the highest common factor.

The factors of 139 are 1, 139

The factors of 5638 are 1, 2, 2819, 5638

The HCF of 139,5638 is 1.

Lets's calculate GCF of 139,5638

Greatest Common Factor (GCF) of 139,5638 By Common Division

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

Greatest Common Factor of 139,5638 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,5638 By Matching Biggest Common Factor Method

Now, list down the factors of 139

:

1,139

Now, list down the factors of 5638

:

1,2,2819,5638

Greatest Common Factor

We found the factors 139,5638 . The biggest common factor number is the GCF number.
So the greatest common factor 139,5638 is 1.

Lets's calculate LCM of 904,867

Lowest Common Multiple of 904,867 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 783768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783768

Therefore, the GCF of Fractions 139/904,5638/867 is 1/783768

Least Common Multiple of 904,867 with GCF Formula

Least Common Multiple of 904,867 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 904,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,867) = 1

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

GCF(904,867) x common factors =1 x 1 = 1

LCM(904,867) = ( 904 × 867 ) / 1

LCM(904,867) = 783768 / 1

LCM(904,867) = 783768


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FAQs on GCF of Fractions of 139/904, 5638/867

1. What is the HCF of 139,5638?

The HCF of 139,5638 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 139/904, 5638/867?

Answer: GCF of Numerators as per given numbers 139/904, 5638/867 is

GCF of Numerators i.e. for 139,5638 is 1

LCM of denominators i.e. for 904,867 is 783768.

Thus, GCF of Fractions is 1/783768.Finally, GCF of Fractions for 139/904, 5638/867 is 1/783768.