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GCF of 679/88, 772/8346

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 679/88, 772/8346 i.e 1/367224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 679/88, 772/8346.

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 679/88,772/8346?

Given fractions are 679/88,772/8346

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 679/88,772/8346, numerators are 679,772

Denominators are 88,8346

The GCF of 679,772 is 1 .

LCM of 88,8346 is 367224.

The greatest common factor of 679/88,772/8346 = [GCF of 679,772]/[LCM of 88,8346]= 1/367224

Therefore, the GCF of 679/88,772/8346 is 1/367224.

Greatest Common Factor of 679,772

To find the highest common factor of 679,772, we have to find the factors of both numbers and list the highest common factor.

The factors of 679 are 1, 7, 97, 679

The factors of 772 are 1, 2, 4, 193, 386, 772

The HCF of 679,772 is 1.

Lets's calculate GCF of 679,772

Greatest Common Factor (GCF) of 679,772 By Common Division

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

Greatest Common Factor of 679,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,772 By Matching Biggest Common Factor Method

Now, list down the factors of 679

:

1,7,97,679

Now, list down the factors of 772

:

1,2,4,193,386,772

Greatest Common Factor

We found the factors 679,772 . The biggest common factor number is the GCF number.
So the greatest common factor 679,772 is 1.


Lets's calculate LCM of 88,8346

Lowest Common Multiple of 88,8346 using Common Division

2 88, 8346
44, 4173

∴ So the LCM of the given numbers is 2 x 44 x 4173 = 367224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/367224

Therefore, the GCF of Fractions 679/88,772/8346 is 1/367224

Least Common Multiple of 88,8346 with GCF Formula

Least Common Multiple of 88,8346 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 88,8346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,8346) = 2

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

GCF(88,8346) x common factors =2 x 1 = 2

LCM(88,8346) = ( 88 × 8346 ) / 2

LCM(88,8346) = 734448 / 2

LCM(88,8346) = 367224


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 679/88, 772/8346

1. What is the HCF of 679,772?

The HCF of 679,772 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 679/88, 772/8346?

Answer: GCF of Numerators as per given numbers 679/88, 772/8346 is

GCF of Numerators i.e. for 679,772 is 1

LCM of denominators i.e. for 88,8346 is 367224.

Thus, GCF of Fractions is 1/367224.Finally, GCF of Fractions for 679/88, 772/8346 is 1/367224.