How to Find GCF of 7065/108, 7949/7319?

GCF of 7065/108, 7949/7319

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 7065/108, 7949/7319 i.e 1/790452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7065/108, 7949/7319.

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 7065/108,7949/7319?

Given fractions are 7065/108,7949/7319

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 7065/108,7949/7319, numerators are 7065,7949

Denominators are 108,7319

The GCF of 7065,7949 is 1 .

LCM of 108,7319 is 790452.

The greatest common factor of 7065/108,7949/7319 = [GCF of 7065,7949]/[LCM of 108,7319]= 1/790452

Therefore, the GCF of 7065/108,7949/7319 is 1/790452.

Greatest Common Factor of 7065,7949

To find the highest common factor of 7065,7949, we have to find the factors of both numbers and list the highest common factor.

The factors of 7065 are 1, 3, 5, 9, 15, 45, 157, 471, 785, 1413, 2355, 7065

The factors of 7949 are 1, 7949

The HCF of 7065,7949 is 1.

Lets's calculate GCF of 7065,7949

Greatest Common Factor (GCF) of 7065,7949 By Common Division

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

Greatest Common Factor of 7065,7949 By Matching Biggest Common Factor Method

Now, list down the factors of 7065

1,3,5,9,15,45,157,471,785,1413,2355,7065

Now, list down the factors of 7949

1,7949

Greatest Common Factor

We found the factors 7065,7949 . The biggest common factor number is the GCF number.
So the greatest common factor 7065,7949 is 1.

Lets's calculate LCM of 108,7319

Lowest Common Multiple of 108,7319 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 790452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/790452

Therefore, the GCF of Fractions 7065/108,7949/7319 is 1/790452

Least Common Multiple of 108,7319 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 108,7319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,7319) = 1

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

GCF(108,7319) x common factors =1 x 1 = 1

LCM(108,7319) = ( 108 × 7319 ) / 1

LCM(108,7319) = 790452 / 1

LCM(108,7319) = 790452

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FAQs on GCF of Fractions of 7065/108, 7949/7319

1. What is the HCF of 7065,7949?

The HCF of 7065,7949 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 7065/108, 7949/7319?

Answer: GCF of Numerators as per given numbers 7065/108, 7949/7319 is

GCF of Numerators i.e. for 7065,7949 is 1

LCM of denominators i.e. for 108,7319 is 790452.

Thus, GCF of Fractions is 1/790452.Finally, GCF of Fractions for 7065/108, 7949/7319 is 1/790452.