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GCF of 9841/584, 7684/8357

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 9841/584, 7684/8357 i.e 1/4880488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9841/584, 7684/8357.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9841/584,7684/8357?

Given fractions are 9841/584,7684/8357

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 9841/584,7684/8357, numerators are 9841,7684

Denominators are 584,8357

The GCF of 9841,7684 is 1 .

LCM of 584,8357 is 4880488.

The greatest common factor of 9841/584,7684/8357 = [GCF of 9841,7684]/[LCM of 584,8357]= 1/4880488

Therefore, the GCF of 9841/584,7684/8357 is 1/4880488.

Greatest Common Factor of 9841,7684

To find the highest common factor of 9841,7684, we have to find the factors of both numbers and list the highest common factor.

The factors of 9841 are 1, 13, 757, 9841

The factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684

The HCF of 9841,7684 is 1.

Lets's calculate GCF of 9841,7684

Greatest Common Factor (GCF) of 9841,7684 By Common Division

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

Greatest Common Factor of 9841,7684 By Matching Biggest Common Factor Method

Greatest Common Factor of 9841,7684 By Matching Biggest Common Factor Method

Now, list down the factors of 9841

:

1,13,757,9841

Now, list down the factors of 7684

:

1,2,4,17,34,68,113,226,452,1921,3842,7684

Greatest Common Factor

We found the factors 9841,7684 . The biggest common factor number is the GCF number.
So the greatest common factor 9841,7684 is 1.


Lets's calculate LCM of 584,8357

Lowest Common Multiple of 584,8357 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4880488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4880488

Therefore, the GCF of Fractions 9841/584,7684/8357 is 1/4880488

Least Common Multiple of 584,8357 with GCF Formula

Least Common Multiple of 584,8357 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 584,8357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,8357) = 1

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

GCF(584,8357) x common factors =1 x 1 = 1

LCM(584,8357) = ( 584 × 8357 ) / 1

LCM(584,8357) = 4880488 / 1

LCM(584,8357) = 4880488


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9841/584, 7684/8357

1. What is the HCF of 9841,7684?

The HCF of 9841,7684 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 9841/584, 7684/8357?

Answer: GCF of Numerators as per given numbers 9841/584, 7684/8357 is

GCF of Numerators i.e. for 9841,7684 is 1

LCM of denominators i.e. for 584,8357 is 4880488.

Thus, GCF of Fractions is 1/4880488.Finally, GCF of Fractions for 9841/584, 7684/8357 is 1/4880488.