How to Find GCF of 7630/984, 4247/290?

GCF of 7630/984, 4247/290

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 7630/984, 4247/290 i.e 1/142680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7630/984, 4247/290.

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 7630/984,4247/290?

Given fractions are 7630/984,4247/290

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 7630/984,4247/290, numerators are 7630,4247

Denominators are 984,290

The GCF of 7630,4247 is 1 .

LCM of 984,290 is 142680.

The greatest common factor of 7630/984,4247/290 = [GCF of 7630,4247]/[LCM of 984,290]= 1/142680

Therefore, the GCF of 7630/984,4247/290 is 1/142680.

Greatest Common Factor of 7630,4247

To find the highest common factor of 7630,4247, we have to find the factors of both numbers and list the highest common factor.

The factors of 7630 are 1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630

The factors of 4247 are 1, 31, 137, 4247

The HCF of 7630,4247 is 1.

Lets's calculate GCF of 7630,4247

Greatest Common Factor (GCF) of 7630,4247 By Common Division

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

Greatest Common Factor of 7630,4247 By Matching Biggest Common Factor Method

Now, list down the factors of 7630

1,2,5,7,10,14,35,70,109,218,545,763,1090,1526,3815,7630

Now, list down the factors of 4247

1,31,137,4247

Greatest Common Factor

We found the factors 7630,4247 . The biggest common factor number is the GCF number.
So the greatest common factor 7630,4247 is 1.

Lets's calculate LCM of 984,290

Lowest Common Multiple of 984,290 using Common Division

2	984, 290
	492, 145

∴ So the LCM of the given numbers is 2 x 492 x 145 = 142680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142680

Therefore, the GCF of Fractions 7630/984,4247/290 is 1/142680

Least Common Multiple of 984,290 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 984,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,290) = 2

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

GCF(984,290) x common factors =2 x 1 = 2

LCM(984,290) = ( 984 × 290 ) / 2

LCM(984,290) = 285360 / 2

LCM(984,290) = 142680

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FAQs on GCF of Fractions of 7630/984, 4247/290

1. What is the HCF of 7630,4247?

The HCF of 7630,4247 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 7630/984, 4247/290?

Answer: GCF of Numerators as per given numbers 7630/984, 4247/290 is

GCF of Numerators i.e. for 7630,4247 is 1

LCM of denominators i.e. for 984,290 is 142680.

Thus, GCF of Fractions is 1/142680.Finally, GCF of Fractions for 7630/984, 4247/290 is 1/142680.