How to Find GCF of 7429/304, 7647/6352?

GCF of 7429/304, 7647/6352

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 7429/304, 7647/6352 i.e 1/120688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7429/304, 7647/6352.

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 7429/304,7647/6352?

Given fractions are 7429/304,7647/6352

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 7429/304,7647/6352, numerators are 7429,7647

Denominators are 304,6352

The GCF of 7429,7647 is 1 .

LCM of 304,6352 is 120688.

The greatest common factor of 7429/304,7647/6352 = [GCF of 7429,7647]/[LCM of 304,6352]= 1/120688

Therefore, the GCF of 7429/304,7647/6352 is 1/120688.

Greatest Common Factor of 7429,7647

To find the highest common factor of 7429,7647, we have to find the factors of both numbers and list the highest common factor.

The factors of 7429 are 1, 17, 19, 23, 323, 391, 437, 7429

The factors of 7647 are 1, 3, 2549, 7647

The HCF of 7429,7647 is 1.

Lets's calculate GCF of 7429,7647

Greatest Common Factor (GCF) of 7429,7647 By Common Division

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

Greatest Common Factor of 7429,7647 By Matching Biggest Common Factor Method

Now, list down the factors of 7429

1,17,19,23,323,391,437,7429

Now, list down the factors of 7647

1,3,2549,7647

Greatest Common Factor

We found the factors 7429,7647 . The biggest common factor number is the GCF number.
So the greatest common factor 7429,7647 is 1.

Lets's calculate LCM of 304,6352

Lowest Common Multiple of 304,6352 using Common Division

2	304, 6352
2	152, 3176
2	76, 1588
2	38, 794
	19, 397

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 397 = 120688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120688

Therefore, the GCF of Fractions 7429/304,7647/6352 is 1/120688

Least Common Multiple of 304,6352 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 304,6352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,6352) = 16

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

GCF(304,6352) x common factors =16 x 1 = 16

LCM(304,6352) = ( 304 × 6352 ) / 16

LCM(304,6352) = 1931008 / 16

LCM(304,6352) = 120688

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FAQs on GCF of Fractions of 7429/304, 7647/6352

1. What is the HCF of 7429,7647?

The HCF of 7429,7647 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 7429/304, 7647/6352?

Answer: GCF of Numerators as per given numbers 7429/304, 7647/6352 is

GCF of Numerators i.e. for 7429,7647 is 1

LCM of denominators i.e. for 304,6352 is 120688.

Thus, GCF of Fractions is 1/120688.Finally, GCF of Fractions for 7429/304, 7647/6352 is 1/120688.