How to Find GCF of 7567/856, 5514/1747?

GCF of 7567/856, 5514/1747

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 7567/856, 5514/1747 i.e 1/1495432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7567/856, 5514/1747.

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 7567/856,5514/1747?

Given fractions are 7567/856,5514/1747

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 7567/856,5514/1747, numerators are 7567,5514

Denominators are 856,1747

The GCF of 7567,5514 is 1 .

LCM of 856,1747 is 1495432.

The greatest common factor of 7567/856,5514/1747 = [GCF of 7567,5514]/[LCM of 856,1747]= 1/1495432

Therefore, the GCF of 7567/856,5514/1747 is 1/1495432.

Greatest Common Factor of 7567,5514

To find the highest common factor of 7567,5514, we have to find the factors of both numbers and list the highest common factor.

The factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567

The factors of 5514 are 1, 2, 3, 6, 919, 1838, 2757, 5514

The HCF of 7567,5514 is 1.

Lets's calculate GCF of 7567,5514

Greatest Common Factor (GCF) of 7567,5514 By Common Division

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

Greatest Common Factor of 7567,5514 By Matching Biggest Common Factor Method

Now, list down the factors of 7567

1,7,23,47,161,329,1081,7567

Now, list down the factors of 5514

1,2,3,6,919,1838,2757,5514

Greatest Common Factor

We found the factors 7567,5514 . The biggest common factor number is the GCF number.
So the greatest common factor 7567,5514 is 1.

Lets's calculate LCM of 856,1747

Lowest Common Multiple of 856,1747 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1495432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1495432

Therefore, the GCF of Fractions 7567/856,5514/1747 is 1/1495432

Least Common Multiple of 856,1747 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 856,1747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,1747) = 1

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

GCF(856,1747) x common factors =1 x 1 = 1

LCM(856,1747) = ( 856 × 1747 ) / 1

LCM(856,1747) = 1495432 / 1

LCM(856,1747) = 1495432

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7567/856, 5514/1747

1. What is the HCF of 7567,5514?

The HCF of 7567,5514 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 7567/856, 5514/1747?

Answer: GCF of Numerators as per given numbers 7567/856, 5514/1747 is

GCF of Numerators i.e. for 7567,5514 is 1

LCM of denominators i.e. for 856,1747 is 1495432.

Thus, GCF of Fractions is 1/1495432.Finally, GCF of Fractions for 7567/856, 5514/1747 is 1/1495432.