How to Find GCF of 4907/796, 9627/4128?

GCF of 4907/796, 9627/4128

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 4907/796, 9627/4128 i.e 1/821472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4907/796, 9627/4128.

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 4907/796,9627/4128?

Given fractions are 4907/796,9627/4128

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 4907/796,9627/4128, numerators are 4907,9627

Denominators are 796,4128

The GCF of 4907,9627 is 1 .

LCM of 796,4128 is 821472.

The greatest common factor of 4907/796,9627/4128 = [GCF of 4907,9627]/[LCM of 796,4128]= 1/821472

Therefore, the GCF of 4907/796,9627/4128 is 1/821472.

Greatest Common Factor of 4907,9627

To find the highest common factor of 4907,9627, we have to find the factors of both numbers and list the highest common factor.

The factors of 4907 are 1, 7, 701, 4907

The factors of 9627 are 1, 3, 3209, 9627

The HCF of 4907,9627 is 1.

Lets's calculate GCF of 4907,9627

Greatest Common Factor (GCF) of 4907,9627 By Common Division

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

Greatest Common Factor of 4907,9627 By Matching Biggest Common Factor Method

Now, list down the factors of 4907

1,7,701,4907

Now, list down the factors of 9627

1,3,3209,9627

Greatest Common Factor

We found the factors 4907,9627 . The biggest common factor number is the GCF number.
So the greatest common factor 4907,9627 is 1.

Lets's calculate LCM of 796,4128

Lowest Common Multiple of 796,4128 using Common Division

2	796, 4128
2	398, 2064
	199, 1032

∴ So the LCM of the given numbers is 2 x 2 x 199 x 1032 = 821472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/821472

Therefore, the GCF of Fractions 4907/796,9627/4128 is 1/821472

Least Common Multiple of 796,4128 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 796,4128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,4128) = 4

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

GCF(796,4128) x common factors =4 x 1 = 4

LCM(796,4128) = ( 796 × 4128 ) / 4

LCM(796,4128) = 3285888 / 4

LCM(796,4128) = 821472

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FAQs on GCF of Fractions of 4907/796, 9627/4128

1. What is the HCF of 4907,9627?

The HCF of 4907,9627 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 4907/796, 9627/4128?

Answer: GCF of Numerators as per given numbers 4907/796, 9627/4128 is

GCF of Numerators i.e. for 4907,9627 is 1

LCM of denominators i.e. for 796,4128 is 821472.

Thus, GCF of Fractions is 1/821472.Finally, GCF of Fractions for 4907/796, 9627/4128 is 1/821472.