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GCF of 418/152, 178/677

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 418/152, 178/677 i.e 2/102904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 418/152, 178/677.

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 418/152,178/677?

Given fractions are 418/152,178/677

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 418/152,178/677, numerators are 418,178

Denominators are 152,677

The GCF of 418,178 is 2 .

LCM of 152,677 is 102904.

The greatest common factor of 418/152,178/677 = [GCF of 418,178]/[LCM of 152,677]= 2/102904

Therefore, the GCF of 418/152,178/677 is 2/102904.

Greatest Common Factor of 418,178

To find the highest common factor of 418,178, we have to find the factors of both numbers and list the highest common factor.

The factors of 418 are 1, 2, 11, 19, 22, 38, 209, 418

The factors of 178 are 1, 2, 89, 178

The HCF of 418,178 is 2.

Lets's calculate GCF of 418,178

Greatest Common Factor (GCF) of 418,178 By Common Division

2 418, 178
209, 89

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

Greatest Common Factor of 418,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,178 By Matching Biggest Common Factor Method

Now, list down the factors of 418

:

1,2,11,19,22,38,209,418

Now, list down the factors of 178

:

1,2,89,178

Greatest Common Factor

We found the factors 418,178 . The biggest common factor number is the GCF number.
So the greatest common factor 418,178 is 2.

Lets's calculate LCM of 152,677

Lowest Common Multiple of 152,677 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 102904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/102904

Therefore, the GCF of Fractions 418/152,178/677 is 2/102904

Least Common Multiple of 152,677 with GCF Formula

Least Common Multiple of 152,677 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 152,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,677) = 1

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

GCF(152,677) x common factors =1 x 1 = 1

LCM(152,677) = ( 152 × 677 ) / 1

LCM(152,677) = 102904 / 1

LCM(152,677) = 102904


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FAQs on GCF of Fractions of 418/152, 178/677

1. What is the HCF of 418,178?

The HCF of 418,178 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 418/152, 178/677?

Answer: GCF of Numerators as per given numbers 418/152, 178/677 is

GCF of Numerators i.e. for 418,178 is 2

LCM of denominators i.e. for 152,677 is 102904.

Thus, GCF of Fractions is 2/102904.Finally, GCF of Fractions for 418/152, 178/677 is 2/102904.