How to Find GCF of 6358/207, 9530/8078?

GCF of 6358/207, 9530/8078

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 6358/207, 9530/8078 i.e 2/1672146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6358/207, 9530/8078.

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 6358/207,9530/8078?

Given fractions are 6358/207,9530/8078

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 6358/207,9530/8078, numerators are 6358,9530

Denominators are 207,8078

The GCF of 6358,9530 is 2 .

LCM of 207,8078 is 1672146.

The greatest common factor of 6358/207,9530/8078 = [GCF of 6358,9530]/[LCM of 207,8078]= 2/1672146

Therefore, the GCF of 6358/207,9530/8078 is 2/1672146.

Greatest Common Factor of 6358,9530

To find the highest common factor of 6358,9530, we have to find the factors of both numbers and list the highest common factor.

The factors of 6358 are 1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179, 6358

The factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530

The HCF of 6358,9530 is 2.

Lets's calculate GCF of 6358,9530

Greatest Common Factor (GCF) of 6358,9530 By Common Division

2	6358, 9530
	3179, 4765

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6358,9530 By Matching Biggest Common Factor Method

Now, list down the factors of 6358

1,2,11,17,22,34,187,289,374,578,3179,6358

Now, list down the factors of 9530

1,2,5,10,953,1906,4765,9530

Greatest Common Factor

We found the factors 6358,9530 . The biggest common factor number is the GCF number.
So the greatest common factor 6358,9530 is 2.

Lets's calculate LCM of 207,8078

Lowest Common Multiple of 207,8078 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1672146

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1672146

Therefore, the GCF of Fractions 6358/207,9530/8078 is 2/1672146

Least Common Multiple of 207,8078 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 207,8078 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(207,8078) = 1

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

GCF(207,8078) x common factors =1 x 1 = 1

LCM(207,8078) = ( 207 × 8078 ) / 1

LCM(207,8078) = 1672146 / 1

LCM(207,8078) = 1672146

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FAQs on GCF of Fractions of 6358/207, 9530/8078

1. What is the HCF of 6358,9530?

The HCF of 6358,9530 is 2

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 6358/207, 9530/8078?

Answer: GCF of Numerators as per given numbers 6358/207, 9530/8078 is

GCF of Numerators i.e. for 6358,9530 is 2

LCM of denominators i.e. for 207,8078 is 1672146.

Thus, GCF of Fractions is 2/1672146.Finally, GCF of Fractions for 6358/207, 9530/8078 is 2/1672146.