How to Find GCF of 5813/245, 1232/6745?

GCF of 5813/245, 1232/6745

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 5813/245, 1232/6745 i.e 1/330505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5813/245, 1232/6745.

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 5813/245,1232/6745?

Given fractions are 5813/245,1232/6745

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 5813/245,1232/6745, numerators are 5813,1232

Denominators are 245,6745

The GCF of 5813,1232 is 1 .

LCM of 245,6745 is 330505.

The greatest common factor of 5813/245,1232/6745 = [GCF of 5813,1232]/[LCM of 245,6745]= 1/330505

Therefore, the GCF of 5813/245,1232/6745 is 1/330505.

Greatest Common Factor of 5813,1232

To find the highest common factor of 5813,1232, we have to find the factors of both numbers and list the highest common factor.

The factors of 5813 are 1, 5813

The factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232

The HCF of 5813,1232 is 1.

Lets's calculate GCF of 5813,1232

Greatest Common Factor (GCF) of 5813,1232 By Common Division

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

Greatest Common Factor of 5813,1232 By Matching Biggest Common Factor Method

Now, list down the factors of 5813

1,5813

Now, list down the factors of 1232

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

Greatest Common Factor

We found the factors 5813,1232 . The biggest common factor number is the GCF number.
So the greatest common factor 5813,1232 is 1.

Lets's calculate LCM of 245,6745

Lowest Common Multiple of 245,6745 using Common Division

5	245, 6745
	49, 1349

∴ So the LCM of the given numbers is 5 x 49 x 1349 = 330505

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330505

Therefore, the GCF of Fractions 5813/245,1232/6745 is 1/330505

Least Common Multiple of 245,6745 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 245,6745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(245,6745) = 5

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

GCF(245,6745) x common factors =5 x 1 = 5

LCM(245,6745) = ( 245 × 6745 ) / 5

LCM(245,6745) = 1652525 / 5

LCM(245,6745) = 330505

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FAQs on GCF of Fractions of 5813/245, 1232/6745

1. What is the HCF of 5813,1232?

The HCF of 5813,1232 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 5813/245, 1232/6745?

Answer: GCF of Numerators as per given numbers 5813/245, 1232/6745 is

GCF of Numerators i.e. for 5813,1232 is 1

LCM of denominators i.e. for 245,6745 is 330505.

Thus, GCF of Fractions is 1/330505.Finally, GCF of Fractions for 5813/245, 1232/6745 is 1/330505.