How to Find GCF of 1511/336, 1068/941?

GCF of 1511/336, 1068/941

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 1511/336, 1068/941 i.e 1/316176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1511/336, 1068/941.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1511/336,1068/941?

Given fractions are 1511/336,1068/941

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 1511/336,1068/941, numerators are 1511,1068

Denominators are 336,941

The GCF of 1511,1068 is 1 .

LCM of 336,941 is 316176.

The greatest common factor of 1511/336,1068/941 = [GCF of 1511,1068]/[LCM of 336,941]= 1/316176

Therefore, the GCF of 1511/336,1068/941 is 1/316176.

Greatest Common Factor of 1511,1068

To find the highest common factor of 1511,1068, we have to find the factors of both numbers and list the highest common factor.

The factors of 1511 are 1, 1511

The factors of 1068 are 1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068

The HCF of 1511,1068 is 1.

Lets's calculate GCF of 1511,1068

Greatest Common Factor (GCF) of 1511,1068 By Common Division

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

Greatest Common Factor of 1511,1068 By Matching Biggest Common Factor Method

Now, list down the factors of 1511

1,1511

Now, list down the factors of 1068

1,2,3,4,6,12,89,178,267,356,534,1068

Greatest Common Factor

We found the factors 1511,1068 . The biggest common factor number is the GCF number.
So the greatest common factor 1511,1068 is 1.

Lets's calculate LCM of 336,941

Lowest Common Multiple of 336,941 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 316176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316176

Therefore, the GCF of Fractions 1511/336,1068/941 is 1/316176

Least Common Multiple of 336,941 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 336,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,941) = 1

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

GCF(336,941) x common factors =1 x 1 = 1

LCM(336,941) = ( 336 × 941 ) / 1

LCM(336,941) = 316176 / 1

LCM(336,941) = 316176

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FAQs on GCF of Fractions of 1511/336, 1068/941

1. What is the HCF of 1511,1068?

The HCF of 1511,1068 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 1511/336, 1068/941?

Answer: GCF of Numerators as per given numbers 1511/336, 1068/941 is

GCF of Numerators i.e. for 1511,1068 is 1

LCM of denominators i.e. for 336,941 is 316176.

Thus, GCF of Fractions is 1/316176.Finally, GCF of Fractions for 1511/336, 1068/941 is 1/316176.