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GCF of 149/601, 127/985

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 149/601, 127/985 i.e 1/591985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 149/601, 127/985.

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 149/601,127/985?

Given fractions are 149/601,127/985

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 149/601,127/985, numerators are 149,127

Denominators are 601,985

The GCF of 149,127 is 1 .

LCM of 601,985 is 591985.

The greatest common factor of 149/601,127/985 = [GCF of 149,127]/[LCM of 601,985]= 1/591985

Therefore, the GCF of 149/601,127/985 is 1/591985.

Greatest Common Factor of 149,127

To find the highest common factor of 149,127, we have to find the factors of both numbers and list the highest common factor.

The factors of 149 are 1, 149

The factors of 127 are 1, 127

The HCF of 149,127 is 1.

Lets's calculate GCF of 149,127

Greatest Common Factor (GCF) of 149,127 By Common Division

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

Greatest Common Factor of 149,127 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,127 By Matching Biggest Common Factor Method

Now, list down the factors of 149

:

1,149

Now, list down the factors of 127

:

1,127

Greatest Common Factor

We found the factors 149,127 . The biggest common factor number is the GCF number.
So the greatest common factor 149,127 is 1.

Lets's calculate LCM of 601,985

Lowest Common Multiple of 601,985 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 591985

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/591985

Therefore, the GCF of Fractions 149/601,127/985 is 1/591985

Least Common Multiple of 601,985 with GCF Formula

Least Common Multiple of 601,985 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 601,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,985) = 1

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

GCF(601,985) x common factors =1 x 1 = 1

LCM(601,985) = ( 601 × 985 ) / 1

LCM(601,985) = 591985 / 1

LCM(601,985) = 591985


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FAQs on GCF of Fractions of 149/601, 127/985

1. What is the HCF of 149,127?

The HCF of 149,127 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 149/601, 127/985?

Answer: GCF of Numerators as per given numbers 149/601, 127/985 is

GCF of Numerators i.e. for 149,127 is 1

LCM of denominators i.e. for 601,985 is 591985.

Thus, GCF of Fractions is 1/591985.Finally, GCF of Fractions for 149/601, 127/985 is 1/591985.