How to Find GCF of 1375/344, 3019/3968?

GCF of 1375/344, 3019/3968

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 1375/344, 3019/3968 i.e 1/170624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1375/344, 3019/3968.

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 1375/344,3019/3968?

Given fractions are 1375/344,3019/3968

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 1375/344,3019/3968, numerators are 1375,3019

Denominators are 344,3968

The GCF of 1375,3019 is 1 .

LCM of 344,3968 is 170624.

The greatest common factor of 1375/344,3019/3968 = [GCF of 1375,3019]/[LCM of 344,3968]= 1/170624

Therefore, the GCF of 1375/344,3019/3968 is 1/170624.

Greatest Common Factor of 1375,3019

To find the highest common factor of 1375,3019, we have to find the factors of both numbers and list the highest common factor.

The factors of 1375 are 1, 5, 11, 25, 55, 125, 275, 1375

The factors of 3019 are 1, 3019

The HCF of 1375,3019 is 1.

Lets's calculate GCF of 1375,3019

Greatest Common Factor (GCF) of 1375,3019 By Common Division

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

Greatest Common Factor of 1375,3019 By Matching Biggest Common Factor Method

Now, list down the factors of 1375

1,5,11,25,55,125,275,1375

Now, list down the factors of 3019

1,3019

Greatest Common Factor

We found the factors 1375,3019 . The biggest common factor number is the GCF number.
So the greatest common factor 1375,3019 is 1.

Lets's calculate LCM of 344,3968

Lowest Common Multiple of 344,3968 using Common Division

2	344, 3968
2	172, 1984
2	86, 992
	43, 496

∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 496 = 170624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170624

Therefore, the GCF of Fractions 1375/344,3019/3968 is 1/170624

Least Common Multiple of 344,3968 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 344,3968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,3968) = 8

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

GCF(344,3968) x common factors =8 x 1 = 8

LCM(344,3968) = ( 344 × 3968 ) / 8

LCM(344,3968) = 1364992 / 8

LCM(344,3968) = 170624

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FAQs on GCF of Fractions of 1375/344, 3019/3968

1. What is the HCF of 1375,3019?

The HCF of 1375,3019 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 1375/344, 3019/3968?

Answer: GCF of Numerators as per given numbers 1375/344, 3019/3968 is

GCF of Numerators i.e. for 1375,3019 is 1

LCM of denominators i.e. for 344,3968 is 170624.

Thus, GCF of Fractions is 1/170624.Finally, GCF of Fractions for 1375/344, 3019/3968 is 1/170624.