How to Find GCF of 6677/692, 6318/7912?

GCF of 6677/692, 6318/7912

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 6677/692, 6318/7912 i.e 1/1368776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6677/692, 6318/7912.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6677/692,6318/7912?

Given fractions are 6677/692,6318/7912

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 6677/692,6318/7912, numerators are 6677,6318

Denominators are 692,7912

The GCF of 6677,6318 is 1 .

LCM of 692,7912 is 1368776.

The greatest common factor of 6677/692,6318/7912 = [GCF of 6677,6318]/[LCM of 692,7912]= 1/1368776

Therefore, the GCF of 6677/692,6318/7912 is 1/1368776.

Greatest Common Factor of 6677,6318

To find the highest common factor of 6677,6318, we have to find the factors of both numbers and list the highest common factor.

The factors of 6677 are 1, 11, 607, 6677

The factors of 6318 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 1053, 2106, 3159, 6318

The HCF of 6677,6318 is 1.

Lets's calculate GCF of 6677,6318

Greatest Common Factor (GCF) of 6677,6318 By Common Division

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

Greatest Common Factor of 6677,6318 By Matching Biggest Common Factor Method

Now, list down the factors of 6677

1,11,607,6677

Now, list down the factors of 6318

1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318

Greatest Common Factor

We found the factors 6677,6318 . The biggest common factor number is the GCF number.
So the greatest common factor 6677,6318 is 1.

Lets's calculate LCM of 692,7912

Lowest Common Multiple of 692,7912 using Common Division

2	692, 7912
2	346, 3956
	173, 1978

∴ So the LCM of the given numbers is 2 x 2 x 173 x 1978 = 1368776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1368776

Therefore, the GCF of Fractions 6677/692,6318/7912 is 1/1368776

Least Common Multiple of 692,7912 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 692,7912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,7912) = 4

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

GCF(692,7912) x common factors =4 x 1 = 4

LCM(692,7912) = ( 692 × 7912 ) / 4

LCM(692,7912) = 5475104 / 4

LCM(692,7912) = 1368776

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6677/692, 6318/7912

1. What is the HCF of 6677,6318?

The HCF of 6677,6318 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 6677/692, 6318/7912?

Answer: GCF of Numerators as per given numbers 6677/692, 6318/7912 is

GCF of Numerators i.e. for 6677,6318 is 1

LCM of denominators i.e. for 692,7912 is 1368776.

Thus, GCF of Fractions is 1/1368776.Finally, GCF of Fractions for 6677/692, 6318/7912 is 1/1368776.