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GCF of 1927/152, 2311/1520

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 1927/152, 2311/1520 i.e 1/1520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1927/152, 2311/1520.

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 1927/152,2311/1520?

Given fractions are 1927/152,2311/1520

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 1927/152,2311/1520, numerators are 1927,2311

Denominators are 152,1520

The GCF of 1927,2311 is 1 .

LCM of 152,1520 is 1520.

The greatest common factor of 1927/152,2311/1520 = [GCF of 1927,2311]/[LCM of 152,1520]= 1/1520

Therefore, the GCF of 1927/152,2311/1520 is 1/1520.

Greatest Common Factor of 1927,2311

To find the highest common factor of 1927,2311, we have to find the factors of both numbers and list the highest common factor.

The factors of 1927 are 1, 41, 47, 1927

The factors of 2311 are 1, 2311

The HCF of 1927,2311 is 1.

Lets's calculate GCF of 1927,2311

Greatest Common Factor (GCF) of 1927,2311 By Common Division

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

Greatest Common Factor of 1927,2311 By Matching Biggest Common Factor Method

Greatest Common Factor of 1927,2311 By Matching Biggest Common Factor Method

Now, list down the factors of 1927

:

1,41,47,1927

Now, list down the factors of 2311

:

1,2311

Greatest Common Factor

We found the factors 1927,2311 . The biggest common factor number is the GCF number.
So the greatest common factor 1927,2311 is 1.

Lets's calculate LCM of 152,1520

Lowest Common Multiple of 152,1520 using Common Division

2 152, 1520
2 76, 760
2 38, 380
19 19, 190
1, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 1 x 10 = 1520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1520

Therefore, the GCF of Fractions 1927/152,2311/1520 is 1/1520

Least Common Multiple of 152,1520 with GCF Formula

Least Common Multiple of 152,1520 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 152,1520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,1520) = 152

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

GCF(152,1520) x common factors =152 x 1 = 152

LCM(152,1520) = ( 152 × 1520 ) / 152

LCM(152,1520) = 231040 / 152

LCM(152,1520) = 1520


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FAQs on GCF of Fractions of 1927/152, 2311/1520

1. What is the HCF of 1927,2311?

The HCF of 1927,2311 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 1927/152, 2311/1520?

Answer: GCF of Numerators as per given numbers 1927/152, 2311/1520 is

GCF of Numerators i.e. for 1927,2311 is 1

LCM of denominators i.e. for 152,1520 is 1520.

Thus, GCF of Fractions is 1/1520.Finally, GCF of Fractions for 1927/152, 2311/1520 is 1/1520.