How to Find GCF of 1226/112, 7561/6516?

GCF of 1226/112, 7561/6516

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 1226/112, 7561/6516 i.e 1/182448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1226/112, 7561/6516.

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 1226/112,7561/6516?

Given fractions are 1226/112,7561/6516

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 1226/112,7561/6516, numerators are 1226,7561

Denominators are 112,6516

The GCF of 1226,7561 is 1 .

LCM of 112,6516 is 182448.

The greatest common factor of 1226/112,7561/6516 = [GCF of 1226,7561]/[LCM of 112,6516]= 1/182448

Therefore, the GCF of 1226/112,7561/6516 is 1/182448.

Greatest Common Factor of 1226,7561

To find the highest common factor of 1226,7561, we have to find the factors of both numbers and list the highest common factor.

The factors of 1226 are 1, 2, 613, 1226

The factors of 7561 are 1, 7561

The HCF of 1226,7561 is 1.

Lets's calculate GCF of 1226,7561

Greatest Common Factor (GCF) of 1226,7561 By Common Division

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

Greatest Common Factor of 1226,7561 By Matching Biggest Common Factor Method

Now, list down the factors of 1226

1,2,613,1226

Now, list down the factors of 7561

1,7561

Greatest Common Factor

We found the factors 1226,7561 . The biggest common factor number is the GCF number.
So the greatest common factor 1226,7561 is 1.

Lets's calculate LCM of 112,6516

Lowest Common Multiple of 112,6516 using Common Division

2	112, 6516
2	56, 3258
	28, 1629

∴ So the LCM of the given numbers is 2 x 2 x 28 x 1629 = 182448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182448

Therefore, the GCF of Fractions 1226/112,7561/6516 is 1/182448

Least Common Multiple of 112,6516 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 112,6516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,6516) = 4

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

GCF(112,6516) x common factors =4 x 1 = 4

LCM(112,6516) = ( 112 × 6516 ) / 4

LCM(112,6516) = 729792 / 4

LCM(112,6516) = 182448

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FAQs on GCF of Fractions of 1226/112, 7561/6516

1. What is the HCF of 1226,7561?

The HCF of 1226,7561 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 1226/112, 7561/6516?

Answer: GCF of Numerators as per given numbers 1226/112, 7561/6516 is

GCF of Numerators i.e. for 1226,7561 is 1

LCM of denominators i.e. for 112,6516 is 182448.

Thus, GCF of Fractions is 1/182448.Finally, GCF of Fractions for 1226/112, 7561/6516 is 1/182448.