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GCF of 1583/379, 1343/957

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 1583/379, 1343/957 i.e 1/362703 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1583/379, 1343/957.

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 1583/379,1343/957?

Given fractions are 1583/379,1343/957

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 1583/379,1343/957, numerators are 1583,1343

Denominators are 379,957

The GCF of 1583,1343 is 1 .

LCM of 379,957 is 362703.

The greatest common factor of 1583/379,1343/957 = [GCF of 1583,1343]/[LCM of 379,957]= 1/362703

Therefore, the GCF of 1583/379,1343/957 is 1/362703.

Greatest Common Factor of 1583,1343

To find the highest common factor of 1583,1343, we have to find the factors of both numbers and list the highest common factor.

The factors of 1583 are 1, 1583

The factors of 1343 are 1, 17, 79, 1343

The HCF of 1583,1343 is 1.

Lets's calculate GCF of 1583,1343

Greatest Common Factor (GCF) of 1583,1343 By Common Division

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

Greatest Common Factor of 1583,1343 By Matching Biggest Common Factor Method

Greatest Common Factor of 1583,1343 By Matching Biggest Common Factor Method

Now, list down the factors of 1583

:

1,1583

Now, list down the factors of 1343

:

1,17,79,1343

Greatest Common Factor

We found the factors 1583,1343 . The biggest common factor number is the GCF number.
So the greatest common factor 1583,1343 is 1.

Lets's calculate LCM of 379,957

Lowest Common Multiple of 379,957 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 362703

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/362703

Therefore, the GCF of Fractions 1583/379,1343/957 is 1/362703

Least Common Multiple of 379,957 with GCF Formula

Least Common Multiple of 379,957 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 379,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,957) = 1

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

GCF(379,957) x common factors =1 x 1 = 1

LCM(379,957) = ( 379 × 957 ) / 1

LCM(379,957) = 362703 / 1

LCM(379,957) = 362703


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FAQs on GCF of Fractions of 1583/379, 1343/957

1. What is the HCF of 1583,1343?

The HCF of 1583,1343 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 1583/379, 1343/957?

Answer: GCF of Numerators as per given numbers 1583/379, 1343/957 is

GCF of Numerators i.e. for 1583,1343 is 1

LCM of denominators i.e. for 379,957 is 362703.

Thus, GCF of Fractions is 1/362703.Finally, GCF of Fractions for 1583/379, 1343/957 is 1/362703.