How to Find GCF of 6940/860, 9853/9080?

GCF of 6940/860, 9853/9080

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 6940/860, 9853/9080 i.e 1/390440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6940/860, 9853/9080.

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 6940/860,9853/9080?

Given fractions are 6940/860,9853/9080

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 6940/860,9853/9080, numerators are 6940,9853

Denominators are 860,9080

The GCF of 6940,9853 is 1 .

LCM of 860,9080 is 390440.

The greatest common factor of 6940/860,9853/9080 = [GCF of 6940,9853]/[LCM of 860,9080]= 1/390440

Therefore, the GCF of 6940/860,9853/9080 is 1/390440.

Greatest Common Factor of 6940,9853

To find the highest common factor of 6940,9853, we have to find the factors of both numbers and list the highest common factor.

The factors of 6940 are 1, 2, 4, 5, 10, 20, 347, 694, 1388, 1735, 3470, 6940

The factors of 9853 are 1, 59, 167, 9853

The HCF of 6940,9853 is 1.

Lets's calculate GCF of 6940,9853

Greatest Common Factor (GCF) of 6940,9853 By Common Division

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

Greatest Common Factor of 6940,9853 By Matching Biggest Common Factor Method

Now, list down the factors of 6940

1,2,4,5,10,20,347,694,1388,1735,3470,6940

Now, list down the factors of 9853

1,59,167,9853

Greatest Common Factor

We found the factors 6940,9853 . The biggest common factor number is the GCF number.
So the greatest common factor 6940,9853 is 1.

Lets's calculate LCM of 860,9080

Lowest Common Multiple of 860,9080 using Common Division

2	860, 9080
2	430, 4540
5	215, 2270
	43, 454

∴ So the LCM of the given numbers is 2 x 2 x 5 x 43 x 454 = 390440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390440

Therefore, the GCF of Fractions 6940/860,9853/9080 is 1/390440

Least Common Multiple of 860,9080 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 860,9080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,9080) = 20

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

GCF(860,9080) x common factors =20 x 1 = 20

LCM(860,9080) = ( 860 × 9080 ) / 20

LCM(860,9080) = 7808800 / 20

LCM(860,9080) = 390440

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FAQs on GCF of Fractions of 6940/860, 9853/9080

1. What is the HCF of 6940,9853?

The HCF of 6940,9853 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 6940/860, 9853/9080?

Answer: GCF of Numerators as per given numbers 6940/860, 9853/9080 is

GCF of Numerators i.e. for 6940,9853 is 1

LCM of denominators i.e. for 860,9080 is 390440.

Thus, GCF of Fractions is 1/390440.Finally, GCF of Fractions for 6940/860, 9853/9080 is 1/390440.