How to Find GCF of 2625/796, 1468/452?

GCF of 2625/796, 1468/452

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 2625/796, 1468/452 i.e 1/89948 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2625/796, 1468/452.

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 2625/796,1468/452?

Given fractions are 2625/796,1468/452

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 2625/796,1468/452, numerators are 2625,1468

Denominators are 796,452

The GCF of 2625,1468 is 1 .

LCM of 796,452 is 89948.

The greatest common factor of 2625/796,1468/452 = [GCF of 2625,1468]/[LCM of 796,452]= 1/89948

Therefore, the GCF of 2625/796,1468/452 is 1/89948.

Greatest Common Factor of 2625,1468

To find the highest common factor of 2625,1468, we have to find the factors of both numbers and list the highest common factor.

The factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625

The factors of 1468 are 1, 2, 4, 367, 734, 1468

The HCF of 2625,1468 is 1.

Lets's calculate GCF of 2625,1468

Greatest Common Factor (GCF) of 2625,1468 By Common Division

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

Greatest Common Factor of 2625,1468 By Matching Biggest Common Factor Method

Now, list down the factors of 2625

1,3,5,7,15,21,25,35,75,105,125,175,375,525,875,2625

Now, list down the factors of 1468

1,2,4,367,734,1468

Greatest Common Factor

We found the factors 2625,1468 . The biggest common factor number is the GCF number.
So the greatest common factor 2625,1468 is 1.

Lets's calculate LCM of 796,452

Lowest Common Multiple of 796,452 using Common Division

2	796, 452
2	398, 226
	199, 113

∴ So the LCM of the given numbers is 2 x 2 x 199 x 113 = 89948

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89948

Therefore, the GCF of Fractions 2625/796,1468/452 is 1/89948

Least Common Multiple of 796,452 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 796,452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,452) = 4

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

GCF(796,452) x common factors =4 x 1 = 4

LCM(796,452) = ( 796 × 452 ) / 4

LCM(796,452) = 359792 / 4

LCM(796,452) = 89948

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FAQs on GCF of Fractions of 2625/796, 1468/452

1. What is the HCF of 2625,1468?

The HCF of 2625,1468 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 2625/796, 1468/452?

Answer: GCF of Numerators as per given numbers 2625/796, 1468/452 is

GCF of Numerators i.e. for 2625,1468 is 1

LCM of denominators i.e. for 796,452 is 89948.

Thus, GCF of Fractions is 1/89948.Finally, GCF of Fractions for 2625/796, 1468/452 is 1/89948.