How to Find GCF of 7052/206, 9527/7595?

GCF of 7052/206, 9527/7595

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 7052/206, 9527/7595 i.e 1/1564570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7052/206, 9527/7595.

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 7052/206,9527/7595?

Given fractions are 7052/206,9527/7595

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 7052/206,9527/7595, numerators are 7052,9527

Denominators are 206,7595

The GCF of 7052,9527 is 1 .

LCM of 206,7595 is 1564570.

The greatest common factor of 7052/206,9527/7595 = [GCF of 7052,9527]/[LCM of 206,7595]= 1/1564570

Therefore, the GCF of 7052/206,9527/7595 is 1/1564570.

Greatest Common Factor of 7052,9527

To find the highest common factor of 7052,9527, we have to find the factors of both numbers and list the highest common factor.

The factors of 7052 are 1, 2, 4, 41, 43, 82, 86, 164, 172, 1763, 3526, 7052

The factors of 9527 are 1, 7, 1361, 9527

The HCF of 7052,9527 is 1.

Lets's calculate GCF of 7052,9527

Greatest Common Factor (GCF) of 7052,9527 By Common Division

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

Greatest Common Factor of 7052,9527 By Matching Biggest Common Factor Method

Now, list down the factors of 7052

1,2,4,41,43,82,86,164,172,1763,3526,7052

Now, list down the factors of 9527

1,7,1361,9527

Greatest Common Factor

We found the factors 7052,9527 . The biggest common factor number is the GCF number.
So the greatest common factor 7052,9527 is 1.

Lets's calculate LCM of 206,7595

Lowest Common Multiple of 206,7595 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1564570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1564570

Therefore, the GCF of Fractions 7052/206,9527/7595 is 1/1564570

Least Common Multiple of 206,7595 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 206,7595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,7595) = 1

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

GCF(206,7595) x common factors =1 x 1 = 1

LCM(206,7595) = ( 206 × 7595 ) / 1

LCM(206,7595) = 1564570 / 1

LCM(206,7595) = 1564570

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FAQs on GCF of Fractions of 7052/206, 9527/7595

1. What is the HCF of 7052,9527?

The HCF of 7052,9527 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 7052/206, 9527/7595?

Answer: GCF of Numerators as per given numbers 7052/206, 9527/7595 is

GCF of Numerators i.e. for 7052,9527 is 1

LCM of denominators i.e. for 206,7595 is 1564570.

Thus, GCF of Fractions is 1/1564570.Finally, GCF of Fractions for 7052/206, 9527/7595 is 1/1564570.