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GCF of 98/78, 911/66, 429/391

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 98/78, 911/66, 429/391 i.e 1/335478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/78, 911/66, 429/391.

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 98/78,911/66,429/391?

Given fractions are 98/78,911/66,429/391

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 98/78,911/66,429/391, numerators are 98,911,429

Denominators are 78,66,391

The GCF of 98,911,429 is 1 .

LCM of 78,66,391 is 335478.

The greatest common factor of 98/78,911/66,429/391 = [GCF of 98,911,429]/[LCM of 78,66,391]= 1/335478

Therefore, the GCF of 98/78,911/66,429/391 is 1/335478.

Greatest Common Factor of 98,911,429

To find the highest common factor of 98,911,429, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 911 are 1, 911

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The HCF of 98,911,429 is 1.

Lets's calculate GCF of 98,911,429

Greatest Common Factor (GCF) of 98,911,429 By Common Division

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

Greatest Common Factor of 98,911,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,911,429 By Matching Biggest Common Factor Method

Now, list down the factors of 98

:

1,2,7,14,49,98

Now, list down the factors of 911

:

1,911

Now, list down the factors of 429

:

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 98,911,429 . The biggest common factor number is the GCF number.
So the greatest common factor 98,911,429 is 1.


Lets's calculate LCM of 78,66,391

Lowest Common Multiple of 78,66,391 using Common Division

2 78, 66, 391
3 39, 33, 391
13, 11, 391

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 391 = 335478

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/335478

Therefore, the GCF of Fractions 98/78,911/66,429/391 is 1/335478

Least Common Multiple of 78,66,391 with GCF Formula

Least Common Multiple of 78,66,391 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 78,66,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,66,391) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,66,391) x common factors =1 x 6 = 6

LCM(78,66,391) = ( 78 × 66 × 391 ) / 6

LCM(78,66,391) = 2012868 / 6

LCM(78,66,391) = 335478


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 98/78, 911/66, 429/391

1. What is the HCF of 98,911,429?

The HCF of 98,911,429 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 98/78, 911/66, 429/391?

Answer: GCF of Numerators as per given numbers 98/78, 911/66, 429/391 is

GCF of Numerators i.e. for 98,911,429 is 1

LCM of denominators i.e. for 78,66,391 is 335478.

Thus, GCF of Fractions is 1/335478.Finally, GCF of Fractions for 98/78, 911/66, 429/391 is 1/335478.