How to Find GCF of 7769/924, 4603/6328?

GCF of 7769/924, 4603/6328

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 7769/924, 4603/6328 i.e 1/208824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7769/924, 4603/6328.

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 7769/924,4603/6328?

Given fractions are 7769/924,4603/6328

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 7769/924,4603/6328, numerators are 7769,4603

Denominators are 924,6328

The GCF of 7769,4603 is 1 .

LCM of 924,6328 is 208824.

The greatest common factor of 7769/924,4603/6328 = [GCF of 7769,4603]/[LCM of 924,6328]= 1/208824

Therefore, the GCF of 7769/924,4603/6328 is 1/208824.

Greatest Common Factor of 7769,4603

To find the highest common factor of 7769,4603, we have to find the factors of both numbers and list the highest common factor.

The factors of 7769 are 1, 17, 457, 7769

The factors of 4603 are 1, 4603

The HCF of 7769,4603 is 1.

Lets's calculate GCF of 7769,4603

Greatest Common Factor (GCF) of 7769,4603 By Common Division

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

Greatest Common Factor of 7769,4603 By Matching Biggest Common Factor Method

Now, list down the factors of 7769

1,17,457,7769

Now, list down the factors of 4603

1,4603

Greatest Common Factor

We found the factors 7769,4603 . The biggest common factor number is the GCF number.
So the greatest common factor 7769,4603 is 1.

Lets's calculate LCM of 924,6328

Lowest Common Multiple of 924,6328 using Common Division

2	924, 6328
2	462, 3164
7	231, 1582
	33, 226

∴ So the LCM of the given numbers is 2 x 2 x 7 x 33 x 226 = 208824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208824

Therefore, the GCF of Fractions 7769/924,4603/6328 is 1/208824

Least Common Multiple of 924,6328 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 924,6328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,6328) = 28

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

GCF(924,6328) x common factors =28 x 1 = 28

LCM(924,6328) = ( 924 × 6328 ) / 28

LCM(924,6328) = 5847072 / 28

LCM(924,6328) = 208824

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FAQs on GCF of Fractions of 7769/924, 4603/6328

1. What is the HCF of 7769,4603?

The HCF of 7769,4603 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 7769/924, 4603/6328?

Answer: GCF of Numerators as per given numbers 7769/924, 4603/6328 is

GCF of Numerators i.e. for 7769,4603 is 1

LCM of denominators i.e. for 924,6328 is 208824.

Thus, GCF of Fractions is 1/208824.Finally, GCF of Fractions for 7769/924, 4603/6328 is 1/208824.