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GCF of 454/25, 680/353

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 454/25, 680/353 i.e 2/8825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 454/25, 680/353.

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 454/25,680/353?

Given fractions are 454/25,680/353

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 454/25,680/353, numerators are 454,680

Denominators are 25,353

The GCF of 454,680 is 2 .

LCM of 25,353 is 8825.

The greatest common factor of 454/25,680/353 = [GCF of 454,680]/[LCM of 25,353]= 2/8825

Therefore, the GCF of 454/25,680/353 is 2/8825.

Greatest Common Factor of 454,680

To find the highest common factor of 454,680, we have to find the factors of both numbers and list the highest common factor.

The factors of 454 are 1, 2, 227, 454

The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

The HCF of 454,680 is 2.

Lets's calculate GCF of 454,680

Greatest Common Factor (GCF) of 454,680 By Common Division

2 454, 680
227, 340

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 454,680 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,680 By Matching Biggest Common Factor Method

Now, list down the factors of 454

:

1,2,227,454

Now, list down the factors of 680

:

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 454,680 . The biggest common factor number is the GCF number.
So the greatest common factor 454,680 is 2.

Lets's calculate LCM of 25,353

Lowest Common Multiple of 25,353 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8825

Therefore, the GCF of Fractions 454/25,680/353 is 2/8825

Least Common Multiple of 25,353 with GCF Formula

Least Common Multiple of 25,353 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 25,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,353) = 1

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

GCF(25,353) x common factors =1 x 1 = 1

LCM(25,353) = ( 25 × 353 ) / 1

LCM(25,353) = 8825 / 1

LCM(25,353) = 8825


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FAQs on GCF of Fractions of 454/25, 680/353

1. What is the HCF of 454,680?

The HCF of 454,680 is 2

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 454/25, 680/353?

Answer: GCF of Numerators as per given numbers 454/25, 680/353 is

GCF of Numerators i.e. for 454,680 is 2

LCM of denominators i.e. for 25,353 is 8825.

Thus, GCF of Fractions is 2/8825.Finally, GCF of Fractions for 454/25, 680/353 is 2/8825.