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GCF of 719/68, 686/2416

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 719/68, 686/2416 i.e 1/41072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 719/68, 686/2416.

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 719/68,686/2416?

Given fractions are 719/68,686/2416

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 719/68,686/2416, numerators are 719,686

Denominators are 68,2416

The GCF of 719,686 is 1 .

LCM of 68,2416 is 41072.

The greatest common factor of 719/68,686/2416 = [GCF of 719,686]/[LCM of 68,2416]= 1/41072

Therefore, the GCF of 719/68,686/2416 is 1/41072.

Greatest Common Factor of 719,686

To find the highest common factor of 719,686, we have to find the factors of both numbers and list the highest common factor.

The factors of 719 are 1, 719

The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686

The HCF of 719,686 is 1.

Lets's calculate GCF of 719,686

Greatest Common Factor (GCF) of 719,686 By Common Division

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

Greatest Common Factor of 719,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 719,686 By Matching Biggest Common Factor Method

Now, list down the factors of 719

:

1,719

Now, list down the factors of 686

:

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 719,686 . The biggest common factor number is the GCF number.
So the greatest common factor 719,686 is 1.

Lets's calculate LCM of 68,2416

Lowest Common Multiple of 68,2416 using Common Division

2 68, 2416
2 34, 1208
17, 604

∴ So the LCM of the given numbers is 2 x 2 x 17 x 604 = 41072

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41072

Therefore, the GCF of Fractions 719/68,686/2416 is 1/41072

Least Common Multiple of 68,2416 with GCF Formula

Least Common Multiple of 68,2416 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 68,2416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,2416) = 4

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

GCF(68,2416) x common factors =4 x 1 = 4

LCM(68,2416) = ( 68 × 2416 ) / 4

LCM(68,2416) = 164288 / 4

LCM(68,2416) = 41072


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FAQs on GCF of Fractions of 719/68, 686/2416

1. What is the HCF of 719,686?

The HCF of 719,686 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 719/68, 686/2416?

Answer: GCF of Numerators as per given numbers 719/68, 686/2416 is

GCF of Numerators i.e. for 719,686 is 1

LCM of denominators i.e. for 68,2416 is 41072.

Thus, GCF of Fractions is 1/41072.Finally, GCF of Fractions for 719/68, 686/2416 is 1/41072.