How to Find GCF of 7345/436, 9679/4948?

GCF of 7345/436, 9679/4948

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 7345/436, 9679/4948 i.e 1/539332 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7345/436, 9679/4948.

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 7345/436,9679/4948?

Given fractions are 7345/436,9679/4948

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 7345/436,9679/4948, numerators are 7345,9679

Denominators are 436,4948

The GCF of 7345,9679 is 1 .

LCM of 436,4948 is 539332.

The greatest common factor of 7345/436,9679/4948 = [GCF of 7345,9679]/[LCM of 436,4948]= 1/539332

Therefore, the GCF of 7345/436,9679/4948 is 1/539332.

Greatest Common Factor of 7345,9679

To find the highest common factor of 7345,9679, we have to find the factors of both numbers and list the highest common factor.

The factors of 7345 are 1, 5, 13, 65, 113, 565, 1469, 7345

The factors of 9679 are 1, 9679

The HCF of 7345,9679 is 1.

Lets's calculate GCF of 7345,9679

Greatest Common Factor (GCF) of 7345,9679 By Common Division

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

Greatest Common Factor of 7345,9679 By Matching Biggest Common Factor Method

Now, list down the factors of 7345

1,5,13,65,113,565,1469,7345

Now, list down the factors of 9679

1,9679

Greatest Common Factor

We found the factors 7345,9679 . The biggest common factor number is the GCF number.
So the greatest common factor 7345,9679 is 1.

Lets's calculate LCM of 436,4948

Lowest Common Multiple of 436,4948 using Common Division

2	436, 4948
2	218, 2474
	109, 1237

∴ So the LCM of the given numbers is 2 x 2 x 109 x 1237 = 539332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539332

Therefore, the GCF of Fractions 7345/436,9679/4948 is 1/539332

Least Common Multiple of 436,4948 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 436,4948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(436,4948) = 4

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

GCF(436,4948) x common factors =4 x 1 = 4

LCM(436,4948) = ( 436 × 4948 ) / 4

LCM(436,4948) = 2157328 / 4

LCM(436,4948) = 539332

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FAQs on GCF of Fractions of 7345/436, 9679/4948

1. What is the HCF of 7345,9679?

The HCF of 7345,9679 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 7345/436, 9679/4948?

Answer: GCF of Numerators as per given numbers 7345/436, 9679/4948 is

GCF of Numerators i.e. for 7345,9679 is 1

LCM of denominators i.e. for 436,4948 is 539332.

Thus, GCF of Fractions is 1/539332.Finally, GCF of Fractions for 7345/436, 9679/4948 is 1/539332.