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GCF of 245/52, 949/3604

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 245/52, 949/3604 i.e 1/46852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/52, 949/3604.

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 245/52,949/3604?

Given fractions are 245/52,949/3604

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 245/52,949/3604, numerators are 245,949

Denominators are 52,3604

The GCF of 245,949 is 1 .

LCM of 52,3604 is 46852.

The greatest common factor of 245/52,949/3604 = [GCF of 245,949]/[LCM of 52,3604]= 1/46852

Therefore, the GCF of 245/52,949/3604 is 1/46852.

Greatest Common Factor of 245,949

To find the highest common factor of 245,949, we have to find the factors of both numbers and list the highest common factor.

The factors of 245 are 1, 5, 7, 35, 49, 245

The factors of 949 are 1, 13, 73, 949

The HCF of 245,949 is 1.

Lets's calculate GCF of 245,949

Greatest Common Factor (GCF) of 245,949 By Common Division

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

Greatest Common Factor of 245,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 245,949 By Matching Biggest Common Factor Method

Now, list down the factors of 245

:

1,5,7,35,49,245

Now, list down the factors of 949

:

1,13,73,949

Greatest Common Factor

We found the factors 245,949 . The biggest common factor number is the GCF number.
So the greatest common factor 245,949 is 1.

Lets's calculate LCM of 52,3604

Lowest Common Multiple of 52,3604 using Common Division

2 52, 3604
2 26, 1802
13, 901

∴ So the LCM of the given numbers is 2 x 2 x 13 x 901 = 46852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46852

Therefore, the GCF of Fractions 245/52,949/3604 is 1/46852

Least Common Multiple of 52,3604 with GCF Formula

Least Common Multiple of 52,3604 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 52,3604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,3604) = 4

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

GCF(52,3604) x common factors =4 x 1 = 4

LCM(52,3604) = ( 52 × 3604 ) / 4

LCM(52,3604) = 187408 / 4

LCM(52,3604) = 46852


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FAQs on GCF of Fractions of 245/52, 949/3604

1. What is the HCF of 245,949?

The HCF of 245,949 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 245/52, 949/3604?

Answer: GCF of Numerators as per given numbers 245/52, 949/3604 is

GCF of Numerators i.e. for 245,949 is 1

LCM of denominators i.e. for 52,3604 is 46852.

Thus, GCF of Fractions is 1/46852.Finally, GCF of Fractions for 245/52, 949/3604 is 1/46852.