How to Find GCF of 7330/419, 2117/8532?

GCF of 7330/419, 2117/8532

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 7330/419, 2117/8532 i.e 1/3574908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7330/419, 2117/8532.

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 7330/419,2117/8532?

Given fractions are 7330/419,2117/8532

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 7330/419,2117/8532, numerators are 7330,2117

Denominators are 419,8532

The GCF of 7330,2117 is 1 .

LCM of 419,8532 is 3574908.

The greatest common factor of 7330/419,2117/8532 = [GCF of 7330,2117]/[LCM of 419,8532]= 1/3574908

Therefore, the GCF of 7330/419,2117/8532 is 1/3574908.

Greatest Common Factor of 7330,2117

To find the highest common factor of 7330,2117, we have to find the factors of both numbers and list the highest common factor.

The factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330

The factors of 2117 are 1, 29, 73, 2117

The HCF of 7330,2117 is 1.

Lets's calculate GCF of 7330,2117

Greatest Common Factor (GCF) of 7330,2117 By Common Division

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

Greatest Common Factor of 7330,2117 By Matching Biggest Common Factor Method

Now, list down the factors of 7330

1,2,5,10,733,1466,3665,7330

Now, list down the factors of 2117

1,29,73,2117

Greatest Common Factor

We found the factors 7330,2117 . The biggest common factor number is the GCF number.
So the greatest common factor 7330,2117 is 1.

Lets's calculate LCM of 419,8532

Lowest Common Multiple of 419,8532 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3574908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3574908

Therefore, the GCF of Fractions 7330/419,2117/8532 is 1/3574908

Least Common Multiple of 419,8532 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 419,8532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,8532) = 1

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

GCF(419,8532) x common factors =1 x 1 = 1

LCM(419,8532) = ( 419 × 8532 ) / 1

LCM(419,8532) = 3574908 / 1

LCM(419,8532) = 3574908

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FAQs on GCF of Fractions of 7330/419, 2117/8532

1. What is the HCF of 7330,2117?

The HCF of 7330,2117 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 7330/419, 2117/8532?

Answer: GCF of Numerators as per given numbers 7330/419, 2117/8532 is

GCF of Numerators i.e. for 7330,2117 is 1

LCM of denominators i.e. for 419,8532 is 3574908.

Thus, GCF of Fractions is 1/3574908.Finally, GCF of Fractions for 7330/419, 2117/8532 is 1/3574908.