How to Find GCF of 7189/702, 4391/1874?

GCF of 7189/702, 4391/1874

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 7189/702, 4391/1874 i.e 1/657774 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7189/702, 4391/1874.

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 7189/702,4391/1874?

Given fractions are 7189/702,4391/1874

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 7189/702,4391/1874, numerators are 7189,4391

Denominators are 702,1874

The GCF of 7189,4391 is 1 .

LCM of 702,1874 is 657774.

The greatest common factor of 7189/702,4391/1874 = [GCF of 7189,4391]/[LCM of 702,1874]= 1/657774

Therefore, the GCF of 7189/702,4391/1874 is 1/657774.

Greatest Common Factor of 7189,4391

To find the highest common factor of 7189,4391, we have to find the factors of both numbers and list the highest common factor.

The factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189

The factors of 4391 are 1, 4391

The HCF of 7189,4391 is 1.

Lets's calculate GCF of 7189,4391

Greatest Common Factor (GCF) of 7189,4391 By Common Division

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

Greatest Common Factor of 7189,4391 By Matching Biggest Common Factor Method

Now, list down the factors of 7189

1,7,13,79,91,553,1027,7189

Now, list down the factors of 4391

1,4391

Greatest Common Factor

We found the factors 7189,4391 . The biggest common factor number is the GCF number.
So the greatest common factor 7189,4391 is 1.

Lets's calculate LCM of 702,1874

Lowest Common Multiple of 702,1874 using Common Division

2	702, 1874
	351, 937

∴ So the LCM of the given numbers is 2 x 351 x 937 = 657774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/657774

Therefore, the GCF of Fractions 7189/702,4391/1874 is 1/657774

Least Common Multiple of 702,1874 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 702,1874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,1874) = 2

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

GCF(702,1874) x common factors =2 x 1 = 2

LCM(702,1874) = ( 702 × 1874 ) / 2

LCM(702,1874) = 1315548 / 2

LCM(702,1874) = 657774

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FAQs on GCF of Fractions of 7189/702, 4391/1874

1. What is the HCF of 7189,4391?

The HCF of 7189,4391 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 7189/702, 4391/1874?

Answer: GCF of Numerators as per given numbers 7189/702, 4391/1874 is

GCF of Numerators i.e. for 7189,4391 is 1

LCM of denominators i.e. for 702,1874 is 657774.

Thus, GCF of Fractions is 1/657774.Finally, GCF of Fractions for 7189/702, 4391/1874 is 1/657774.