How to Find GCF of 7621/678, 1342/7110?

GCF of 7621/678, 1342/7110

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 7621/678, 1342/7110 i.e 1/803430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7621/678, 1342/7110.

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 7621/678,1342/7110?

Given fractions are 7621/678,1342/7110

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 7621/678,1342/7110, numerators are 7621,1342

Denominators are 678,7110

The GCF of 7621,1342 is 1 .

LCM of 678,7110 is 803430.

The greatest common factor of 7621/678,1342/7110 = [GCF of 7621,1342]/[LCM of 678,7110]= 1/803430

Therefore, the GCF of 7621/678,1342/7110 is 1/803430.

Greatest Common Factor of 7621,1342

To find the highest common factor of 7621,1342, we have to find the factors of both numbers and list the highest common factor.

The factors of 7621 are 1, 7621

The factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342

The HCF of 7621,1342 is 1.

Lets's calculate GCF of 7621,1342

Greatest Common Factor (GCF) of 7621,1342 By Common Division

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

Greatest Common Factor of 7621,1342 By Matching Biggest Common Factor Method

Now, list down the factors of 7621

1,7621

Now, list down the factors of 1342

1,2,11,22,61,122,671,1342

Greatest Common Factor

We found the factors 7621,1342 . The biggest common factor number is the GCF number.
So the greatest common factor 7621,1342 is 1.

Lets's calculate LCM of 678,7110

Lowest Common Multiple of 678,7110 using Common Division

2	678, 7110
3	339, 3555
	113, 1185

∴ So the LCM of the given numbers is 2 x 3 x 113 x 1185 = 803430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/803430

Therefore, the GCF of Fractions 7621/678,1342/7110 is 1/803430

Least Common Multiple of 678,7110 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 678,7110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,7110) = 6

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

GCF(678,7110) x common factors =6 x 1 = 6

LCM(678,7110) = ( 678 × 7110 ) / 6

LCM(678,7110) = 4820580 / 6

LCM(678,7110) = 803430

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7621/678, 1342/7110

1. What is the HCF of 7621,1342?

The HCF of 7621,1342 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 7621/678, 1342/7110?

Answer: GCF of Numerators as per given numbers 7621/678, 1342/7110 is

GCF of Numerators i.e. for 7621,1342 is 1

LCM of denominators i.e. for 678,7110 is 803430.

Thus, GCF of Fractions is 1/803430.Finally, GCF of Fractions for 7621/678, 1342/7110 is 1/803430.