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GCF of 348/25, 292/5361

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 348/25, 292/5361 i.e 4/134025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/25, 292/5361.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 348/25,292/5361?

Given fractions are 348/25,292/5361

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 348/25,292/5361, numerators are 348,292

Denominators are 25,5361

The GCF of 348,292 is 4 .

LCM of 25,5361 is 134025.

The greatest common factor of 348/25,292/5361 = [GCF of 348,292]/[LCM of 25,5361]= 4/134025

Therefore, the GCF of 348/25,292/5361 is 4/134025.

Greatest Common Factor of 348,292

To find the highest common factor of 348,292, we have to find the factors of both numbers and list the highest common factor.

The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

The factors of 292 are 1, 2, 4, 73, 146, 292

The HCF of 348,292 is 4.

Lets's calculate GCF of 348,292

Greatest Common Factor (GCF) of 348,292 By Common Division

2 348, 292
2 174, 146
87, 73

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 348,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 348,292 By Matching Biggest Common Factor Method

Now, list down the factors of 348

:

1,2,3,4,6,12,29,58,87,116,174,348

Now, list down the factors of 292

:

1,2,4,73,146,292

Greatest Common Factor

We found the factors 348,292 . The biggest common factor number is the GCF number.
So the greatest common factor 348,292 is 4.

Lets's calculate LCM of 25,5361

Lowest Common Multiple of 25,5361 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 134025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/134025

Therefore, the GCF of Fractions 348/25,292/5361 is 4/134025

Least Common Multiple of 25,5361 with GCF Formula

Least Common Multiple of 25,5361 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 25,5361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,5361) = 1

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

GCF(25,5361) x common factors =1 x 1 = 1

LCM(25,5361) = ( 25 × 5361 ) / 1

LCM(25,5361) = 134025 / 1

LCM(25,5361) = 134025


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FAQs on GCF of Fractions of 348/25, 292/5361

1. What is the HCF of 348,292?

The HCF of 348,292 is 4

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 348/25, 292/5361?

Answer: GCF of Numerators as per given numbers 348/25, 292/5361 is

GCF of Numerators i.e. for 348,292 is 4

LCM of denominators i.e. for 25,5361 is 134025.

Thus, GCF of Fractions is 4/134025.Finally, GCF of Fractions for 348/25, 292/5361 is 4/134025.