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GCF of 308/905, 709/680

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 308/905, 709/680 i.e 1/123080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 308/905, 709/680.

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 308/905,709/680?

Given fractions are 308/905,709/680

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 308/905,709/680, numerators are 308,709

Denominators are 905,680

The GCF of 308,709 is 1 .

LCM of 905,680 is 123080.

The greatest common factor of 308/905,709/680 = [GCF of 308,709]/[LCM of 905,680]= 1/123080

Therefore, the GCF of 308/905,709/680 is 1/123080.

Greatest Common Factor of 308,709

To find the highest common factor of 308,709, we have to find the factors of both numbers and list the highest common factor.

The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

The factors of 709 are 1, 709

The HCF of 308,709 is 1.

Lets's calculate GCF of 308,709

Greatest Common Factor (GCF) of 308,709 By Common Division

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

Greatest Common Factor of 308,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 308,709 By Matching Biggest Common Factor Method

Now, list down the factors of 308

:

1,2,4,7,11,14,22,28,44,77,154,308

Now, list down the factors of 709

:

1,709

Greatest Common Factor

We found the factors 308,709 . The biggest common factor number is the GCF number.
So the greatest common factor 308,709 is 1.

Lets's calculate LCM of 905,680

Lowest Common Multiple of 905,680 using Common Division

5 905, 680
181, 136

∴ So the LCM of the given numbers is 5 x 181 x 136 = 123080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123080

Therefore, the GCF of Fractions 308/905,709/680 is 1/123080

Least Common Multiple of 905,680 with GCF Formula

Least Common Multiple of 905,680 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 905,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(905,680) = 5

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

GCF(905,680) x common factors =5 x 1 = 5

LCM(905,680) = ( 905 × 680 ) / 5

LCM(905,680) = 615400 / 5

LCM(905,680) = 123080


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FAQs on GCF of Fractions of 308/905, 709/680

1. What is the HCF of 308,709?

The HCF of 308,709 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 308/905, 709/680?

Answer: GCF of Numerators as per given numbers 308/905, 709/680 is

GCF of Numerators i.e. for 308,709 is 1

LCM of denominators i.e. for 905,680 is 123080.

Thus, GCF of Fractions is 1/123080.Finally, GCF of Fractions for 308/905, 709/680 is 1/123080.