How to Find GCF of 7907/290, 8233/730?

GCF of 7907/290, 8233/730

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 7907/290, 8233/730 i.e 1/21170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7907/290, 8233/730.

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 7907/290,8233/730?

Given fractions are 7907/290,8233/730

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 7907/290,8233/730, numerators are 7907,8233

Denominators are 290,730

The GCF of 7907,8233 is 1 .

LCM of 290,730 is 21170.

The greatest common factor of 7907/290,8233/730 = [GCF of 7907,8233]/[LCM of 290,730]= 1/21170

Therefore, the GCF of 7907/290,8233/730 is 1/21170.

Greatest Common Factor of 7907,8233

To find the highest common factor of 7907,8233, we have to find the factors of both numbers and list the highest common factor.

The factors of 7907 are 1, 7907

The factors of 8233 are 1, 8233

The HCF of 7907,8233 is 1.

Lets's calculate GCF of 7907,8233

Greatest Common Factor (GCF) of 7907,8233 By Common Division

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

Greatest Common Factor of 7907,8233 By Matching Biggest Common Factor Method

Now, list down the factors of 7907

1,7907

Now, list down the factors of 8233

1,8233

Greatest Common Factor

We found the factors 7907,8233 . The biggest common factor number is the GCF number.
So the greatest common factor 7907,8233 is 1.

Lets's calculate LCM of 290,730

Lowest Common Multiple of 290,730 using Common Division

2	290, 730
5	145, 365
	29, 73

∴ So the LCM of the given numbers is 2 x 5 x 29 x 73 = 21170

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21170

Therefore, the GCF of Fractions 7907/290,8233/730 is 1/21170

Least Common Multiple of 290,730 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 290,730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,730) = 10

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

GCF(290,730) x common factors =10 x 1 = 10

LCM(290,730) = ( 290 × 730 ) / 10

LCM(290,730) = 211700 / 10

LCM(290,730) = 21170

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FAQs on GCF of Fractions of 7907/290, 8233/730

1. What is the HCF of 7907,8233?

The HCF of 7907,8233 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 7907/290, 8233/730?

Answer: GCF of Numerators as per given numbers 7907/290, 8233/730 is

GCF of Numerators i.e. for 7907,8233 is 1

LCM of denominators i.e. for 290,730 is 21170.

Thus, GCF of Fractions is 1/21170.Finally, GCF of Fractions for 7907/290, 8233/730 is 1/21170.