How to Find GCF of 6841/352, 9970/8998?

GCF of 6841/352, 9970/8998

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 6841/352, 9970/8998 i.e 1/143968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6841/352, 9970/8998.

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 6841/352,9970/8998?

Given fractions are 6841/352,9970/8998

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 6841/352,9970/8998, numerators are 6841,9970

Denominators are 352,8998

The GCF of 6841,9970 is 1 .

LCM of 352,8998 is 143968.

The greatest common factor of 6841/352,9970/8998 = [GCF of 6841,9970]/[LCM of 352,8998]= 1/143968

Therefore, the GCF of 6841/352,9970/8998 is 1/143968.

Greatest Common Factor of 6841,9970

To find the highest common factor of 6841,9970, we have to find the factors of both numbers and list the highest common factor.

The factors of 6841 are 1, 6841

The factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970

The HCF of 6841,9970 is 1.

Lets's calculate GCF of 6841,9970

Greatest Common Factor (GCF) of 6841,9970 By Common Division

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

Greatest Common Factor of 6841,9970 By Matching Biggest Common Factor Method

Now, list down the factors of 6841

1,6841

Now, list down the factors of 9970

1,2,5,10,997,1994,4985,9970

Greatest Common Factor

We found the factors 6841,9970 . The biggest common factor number is the GCF number.
So the greatest common factor 6841,9970 is 1.

Lets's calculate LCM of 352,8998

Lowest Common Multiple of 352,8998 using Common Division

2	352, 8998
11	176, 4499
	16, 409

∴ So the LCM of the given numbers is 2 x 11 x 16 x 409 = 143968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143968

Therefore, the GCF of Fractions 6841/352,9970/8998 is 1/143968

Least Common Multiple of 352,8998 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 352,8998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(352,8998) = 22

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

GCF(352,8998) x common factors =22 x 1 = 22

LCM(352,8998) = ( 352 × 8998 ) / 22

LCM(352,8998) = 3167296 / 22

LCM(352,8998) = 143968

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FAQs on GCF of Fractions of 6841/352, 9970/8998

1. What is the HCF of 6841,9970?

The HCF of 6841,9970 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 6841/352, 9970/8998?

Answer: GCF of Numerators as per given numbers 6841/352, 9970/8998 is

GCF of Numerators i.e. for 6841,9970 is 1

LCM of denominators i.e. for 352,8998 is 143968.

Thus, GCF of Fractions is 1/143968.Finally, GCF of Fractions for 6841/352, 9970/8998 is 1/143968.