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GCF of 153/440, 427/680

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 153/440, 427/680 i.e 1/7480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 153/440, 427/680.

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 153/440,427/680?

Given fractions are 153/440,427/680

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 153/440,427/680, numerators are 153,427

Denominators are 440,680

The GCF of 153,427 is 1 .

LCM of 440,680 is 7480.

The greatest common factor of 153/440,427/680 = [GCF of 153,427]/[LCM of 440,680]= 1/7480

Therefore, the GCF of 153/440,427/680 is 1/7480.

Greatest Common Factor of 153,427

To find the highest common factor of 153,427, we have to find the factors of both numbers and list the highest common factor.

The factors of 153 are 1, 3, 9, 17, 51, 153

The factors of 427 are 1, 7, 61, 427

The HCF of 153,427 is 1.

Lets's calculate GCF of 153,427

Greatest Common Factor (GCF) of 153,427 By Common Division

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

Greatest Common Factor of 153,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 153,427 By Matching Biggest Common Factor Method

Now, list down the factors of 153

:

1,3,9,17,51,153

Now, list down the factors of 427

:

1,7,61,427

Greatest Common Factor

We found the factors 153,427 . The biggest common factor number is the GCF number.
So the greatest common factor 153,427 is 1.

Lets's calculate LCM of 440,680

Lowest Common Multiple of 440,680 using Common Division

2 440, 680
2 220, 340
2 110, 170
5 55, 85
11, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 17 = 7480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7480

Therefore, the GCF of Fractions 153/440,427/680 is 1/7480

Least Common Multiple of 440,680 with GCF Formula

Least Common Multiple of 440,680 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 440,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,680) = 40

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

GCF(440,680) x common factors =40 x 1 = 40

LCM(440,680) = ( 440 × 680 ) / 40

LCM(440,680) = 299200 / 40

LCM(440,680) = 7480


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FAQs on GCF of Fractions of 153/440, 427/680

1. What is the HCF of 153,427?

The HCF of 153,427 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 153/440, 427/680?

Answer: GCF of Numerators as per given numbers 153/440, 427/680 is

GCF of Numerators i.e. for 153,427 is 1

LCM of denominators i.e. for 440,680 is 7480.

Thus, GCF of Fractions is 1/7480.Finally, GCF of Fractions for 153/440, 427/680 is 1/7480.