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GCF of 295/61, 503/232

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 295/61, 503/232 i.e 1/14152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 295/61, 503/232.

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 295/61,503/232?

Given fractions are 295/61,503/232

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 295/61,503/232, numerators are 295,503

Denominators are 61,232

The GCF of 295,503 is 1 .

LCM of 61,232 is 14152.

The greatest common factor of 295/61,503/232 = [GCF of 295,503]/[LCM of 61,232]= 1/14152

Therefore, the GCF of 295/61,503/232 is 1/14152.

Greatest Common Factor of 295,503

To find the highest common factor of 295,503, we have to find the factors of both numbers and list the highest common factor.

The factors of 295 are 1, 5, 59, 295

The factors of 503 are 1, 503

The HCF of 295,503 is 1.

Lets's calculate GCF of 295,503

Greatest Common Factor (GCF) of 295,503 By Common Division

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

Greatest Common Factor of 295,503 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,503 By Matching Biggest Common Factor Method

Now, list down the factors of 295

:

1,5,59,295

Now, list down the factors of 503

:

1,503

Greatest Common Factor

We found the factors 295,503 . The biggest common factor number is the GCF number.
So the greatest common factor 295,503 is 1.

Lets's calculate LCM of 61,232

Lowest Common Multiple of 61,232 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 14152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14152

Therefore, the GCF of Fractions 295/61,503/232 is 1/14152

Least Common Multiple of 61,232 with GCF Formula

Least Common Multiple of 61,232 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 61,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,232) = 1

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

GCF(61,232) x common factors =1 x 1 = 1

LCM(61,232) = ( 61 × 232 ) / 1

LCM(61,232) = 14152 / 1

LCM(61,232) = 14152


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FAQs on GCF of Fractions of 295/61, 503/232

1. What is the HCF of 295,503?

The HCF of 295,503 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 295/61, 503/232?

Answer: GCF of Numerators as per given numbers 295/61, 503/232 is

GCF of Numerators i.e. for 295,503 is 1

LCM of denominators i.e. for 61,232 is 14152.

Thus, GCF of Fractions is 1/14152.Finally, GCF of Fractions for 295/61, 503/232 is 1/14152.