How to Find GCF of 4925/638, 7787/9193?

GCF of 4925/638, 7787/9193

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 4925/638, 7787/9193 i.e 1/202246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4925/638, 7787/9193.

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 4925/638,7787/9193?

Given fractions are 4925/638,7787/9193

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 4925/638,7787/9193, numerators are 4925,7787

Denominators are 638,9193

The GCF of 4925,7787 is 1 .

LCM of 638,9193 is 202246.

The greatest common factor of 4925/638,7787/9193 = [GCF of 4925,7787]/[LCM of 638,9193]= 1/202246

Therefore, the GCF of 4925/638,7787/9193 is 1/202246.

Greatest Common Factor of 4925,7787

To find the highest common factor of 4925,7787, we have to find the factors of both numbers and list the highest common factor.

The factors of 4925 are 1, 5, 25, 197, 985, 4925

The factors of 7787 are 1, 13, 599, 7787

The HCF of 4925,7787 is 1.

Lets's calculate GCF of 4925,7787

Greatest Common Factor (GCF) of 4925,7787 By Common Division

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

Greatest Common Factor of 4925,7787 By Matching Biggest Common Factor Method

Now, list down the factors of 4925

1,5,25,197,985,4925

Now, list down the factors of 7787

1,13,599,7787

Greatest Common Factor

We found the factors 4925,7787 . The biggest common factor number is the GCF number.
So the greatest common factor 4925,7787 is 1.

Lets's calculate LCM of 638,9193

Lowest Common Multiple of 638,9193 using Common Division

29	638, 9193
	22, 317

∴ So the LCM of the given numbers is 29 x 22 x 317 = 202246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/202246

Therefore, the GCF of Fractions 4925/638,7787/9193 is 1/202246

Least Common Multiple of 638,9193 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 638,9193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,9193) = 29

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

GCF(638,9193) x common factors =29 x 1 = 29

LCM(638,9193) = ( 638 × 9193 ) / 29

LCM(638,9193) = 5865134 / 29

LCM(638,9193) = 202246

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FAQs on GCF of Fractions of 4925/638, 7787/9193

1. What is the HCF of 4925,7787?

The HCF of 4925,7787 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 4925/638, 7787/9193?

Answer: GCF of Numerators as per given numbers 4925/638, 7787/9193 is

GCF of Numerators i.e. for 4925,7787 is 1

LCM of denominators i.e. for 638,9193 is 202246.

Thus, GCF of Fractions is 1/202246.Finally, GCF of Fractions for 4925/638, 7787/9193 is 1/202246.