How to Find GCF of 5392/650, 7607/3359?

GCF of 5392/650, 7607/3359

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 5392/650, 7607/3359 i.e 1/2183350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5392/650, 7607/3359.

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 5392/650,7607/3359?

Given fractions are 5392/650,7607/3359

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 5392/650,7607/3359, numerators are 5392,7607

Denominators are 650,3359

The GCF of 5392,7607 is 1 .

LCM of 650,3359 is 2183350.

The greatest common factor of 5392/650,7607/3359 = [GCF of 5392,7607]/[LCM of 650,3359]= 1/2183350

Therefore, the GCF of 5392/650,7607/3359 is 1/2183350.

Greatest Common Factor of 5392,7607

To find the highest common factor of 5392,7607, we have to find the factors of both numbers and list the highest common factor.

The factors of 5392 are 1, 2, 4, 8, 16, 337, 674, 1348, 2696, 5392

The factors of 7607 are 1, 7607

The HCF of 5392,7607 is 1.

Lets's calculate GCF of 5392,7607

Greatest Common Factor (GCF) of 5392,7607 By Common Division

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

Greatest Common Factor of 5392,7607 By Matching Biggest Common Factor Method

Now, list down the factors of 5392

1,2,4,8,16,337,674,1348,2696,5392

Now, list down the factors of 7607

1,7607

Greatest Common Factor

We found the factors 5392,7607 . The biggest common factor number is the GCF number.
So the greatest common factor 5392,7607 is 1.

Lets's calculate LCM of 650,3359

Lowest Common Multiple of 650,3359 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2183350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2183350

Therefore, the GCF of Fractions 5392/650,7607/3359 is 1/2183350

Least Common Multiple of 650,3359 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 650,3359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,3359) = 1

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

GCF(650,3359) x common factors =1 x 1 = 1

LCM(650,3359) = ( 650 × 3359 ) / 1

LCM(650,3359) = 2183350 / 1

LCM(650,3359) = 2183350

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FAQs on GCF of Fractions of 5392/650, 7607/3359

1. What is the HCF of 5392,7607?

The HCF of 5392,7607 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 5392/650, 7607/3359?

Answer: GCF of Numerators as per given numbers 5392/650, 7607/3359 is

GCF of Numerators i.e. for 5392,7607 is 1

LCM of denominators i.e. for 650,3359 is 2183350.

Thus, GCF of Fractions is 1/2183350.Finally, GCF of Fractions for 5392/650, 7607/3359 is 1/2183350.