How to Find GCF of 9811/616, 2346/3410?

GCF of 9811/616, 2346/3410

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 9811/616, 2346/3410 i.e 1/95480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9811/616, 2346/3410.

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 9811/616,2346/3410?

Given fractions are 9811/616,2346/3410

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 9811/616,2346/3410, numerators are 9811,2346

Denominators are 616,3410

The GCF of 9811,2346 is 1 .

LCM of 616,3410 is 95480.

The greatest common factor of 9811/616,2346/3410 = [GCF of 9811,2346]/[LCM of 616,3410]= 1/95480

Therefore, the GCF of 9811/616,2346/3410 is 1/95480.

Greatest Common Factor of 9811,2346

To find the highest common factor of 9811,2346, we have to find the factors of both numbers and list the highest common factor.

The factors of 9811 are 1, 9811

The factors of 2346 are 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346

The HCF of 9811,2346 is 1.

Lets's calculate GCF of 9811,2346

Greatest Common Factor (GCF) of 9811,2346 By Common Division

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

Greatest Common Factor of 9811,2346 By Matching Biggest Common Factor Method

Now, list down the factors of 9811

1,9811

Now, list down the factors of 2346

1,2,3,6,17,23,34,46,51,69,102,138,391,782,1173,2346

Greatest Common Factor

We found the factors 9811,2346 . The biggest common factor number is the GCF number.
So the greatest common factor 9811,2346 is 1.

Lets's calculate LCM of 616,3410

Lowest Common Multiple of 616,3410 using Common Division

2	616, 3410
11	308, 1705
	28, 155

∴ So the LCM of the given numbers is 2 x 11 x 28 x 155 = 95480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95480

Therefore, the GCF of Fractions 9811/616,2346/3410 is 1/95480

Least Common Multiple of 616,3410 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 616,3410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,3410) = 22

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

GCF(616,3410) x common factors =22 x 1 = 22

LCM(616,3410) = ( 616 × 3410 ) / 22

LCM(616,3410) = 2100560 / 22

LCM(616,3410) = 95480

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FAQs on GCF of Fractions of 9811/616, 2346/3410

1. What is the HCF of 9811,2346?

The HCF of 9811,2346 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 9811/616, 2346/3410?

Answer: GCF of Numerators as per given numbers 9811/616, 2346/3410 is

GCF of Numerators i.e. for 9811,2346 is 1

LCM of denominators i.e. for 616,3410 is 95480.

Thus, GCF of Fractions is 1/95480.Finally, GCF of Fractions for 9811/616, 2346/3410 is 1/95480.