How to Find GCF of 3523/604, 5101/7604?

GCF of 3523/604, 5101/7604

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 3523/604, 5101/7604 i.e 1/1148204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3523/604, 5101/7604.

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 3523/604,5101/7604?

Given fractions are 3523/604,5101/7604

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 3523/604,5101/7604, numerators are 3523,5101

Denominators are 604,7604

The GCF of 3523,5101 is 1 .

LCM of 604,7604 is 1148204.

The greatest common factor of 3523/604,5101/7604 = [GCF of 3523,5101]/[LCM of 604,7604]= 1/1148204

Therefore, the GCF of 3523/604,5101/7604 is 1/1148204.

Greatest Common Factor of 3523,5101

To find the highest common factor of 3523,5101, we have to find the factors of both numbers and list the highest common factor.

The factors of 3523 are 1, 13, 271, 3523

The factors of 5101 are 1, 5101

The HCF of 3523,5101 is 1.

Lets's calculate GCF of 3523,5101

Greatest Common Factor (GCF) of 3523,5101 By Common Division

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

Greatest Common Factor of 3523,5101 By Matching Biggest Common Factor Method

Now, list down the factors of 3523

1,13,271,3523

Now, list down the factors of 5101

1,5101

Greatest Common Factor

We found the factors 3523,5101 . The biggest common factor number is the GCF number.
So the greatest common factor 3523,5101 is 1.

Lets's calculate LCM of 604,7604

Lowest Common Multiple of 604,7604 using Common Division

2	604, 7604
2	302, 3802
	151, 1901

∴ So the LCM of the given numbers is 2 x 2 x 151 x 1901 = 1148204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1148204

Therefore, the GCF of Fractions 3523/604,5101/7604 is 1/1148204

Least Common Multiple of 604,7604 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 604,7604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,7604) = 4

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

GCF(604,7604) x common factors =4 x 1 = 4

LCM(604,7604) = ( 604 × 7604 ) / 4

LCM(604,7604) = 4592816 / 4

LCM(604,7604) = 1148204

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FAQs on GCF of Fractions of 3523/604, 5101/7604

1. What is the HCF of 3523,5101?

The HCF of 3523,5101 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 3523/604, 5101/7604?

Answer: GCF of Numerators as per given numbers 3523/604, 5101/7604 is

GCF of Numerators i.e. for 3523,5101 is 1

LCM of denominators i.e. for 604,7604 is 1148204.

Thus, GCF of Fractions is 1/1148204.Finally, GCF of Fractions for 3523/604, 5101/7604 is 1/1148204.