How to Find GCF of 7660/844, 1226/8650?

GCF of 7660/844, 1226/8650

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 7660/844, 1226/8650 i.e 2/3650300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7660/844, 1226/8650.

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 7660/844,1226/8650?

Given fractions are 7660/844,1226/8650

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 7660/844,1226/8650, numerators are 7660,1226

Denominators are 844,8650

The GCF of 7660,1226 is 2 .

LCM of 844,8650 is 3650300.

The greatest common factor of 7660/844,1226/8650 = [GCF of 7660,1226]/[LCM of 844,8650]= 2/3650300

Therefore, the GCF of 7660/844,1226/8650 is 2/3650300.

Greatest Common Factor of 7660,1226

To find the highest common factor of 7660,1226, we have to find the factors of both numbers and list the highest common factor.

The factors of 7660 are 1, 2, 4, 5, 10, 20, 383, 766, 1532, 1915, 3830, 7660

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

The HCF of 7660,1226 is 2.

Lets's calculate GCF of 7660,1226

Greatest Common Factor (GCF) of 7660,1226 By Common Division

2	7660, 1226
	3830, 613

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

Greatest Common Factor of 7660,1226 By Matching Biggest Common Factor Method

Now, list down the factors of 7660

1,2,4,5,10,20,383,766,1532,1915,3830,7660

Now, list down the factors of 1226

1,2,613,1226

Greatest Common Factor

We found the factors 7660,1226 . The biggest common factor number is the GCF number.
So the greatest common factor 7660,1226 is 2.

Lets's calculate LCM of 844,8650

Lowest Common Multiple of 844,8650 using Common Division

2	844, 8650
	422, 4325

∴ So the LCM of the given numbers is 2 x 422 x 4325 = 3650300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3650300

Therefore, the GCF of Fractions 7660/844,1226/8650 is 2/3650300

Least Common Multiple of 844,8650 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 844,8650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,8650) = 2

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

GCF(844,8650) x common factors =2 x 1 = 2

LCM(844,8650) = ( 844 × 8650 ) / 2

LCM(844,8650) = 7300600 / 2

LCM(844,8650) = 3650300

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7660/844, 1226/8650

1. What is the HCF of 7660,1226?

The HCF of 7660,1226 is 2

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 7660/844, 1226/8650?

Answer: GCF of Numerators as per given numbers 7660/844, 1226/8650 is

GCF of Numerators i.e. for 7660,1226 is 2

LCM of denominators i.e. for 844,8650 is 3650300.

Thus, GCF of Fractions is 2/3650300.Finally, GCF of Fractions for 7660/844, 1226/8650 is 2/3650300.