How to Find GCF of 6689/956, 6023/7468?

GCF of 6689/956, 6023/7468

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 6689/956, 6023/7468 i.e 1/1784852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6689/956, 6023/7468.

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 6689/956,6023/7468?

Given fractions are 6689/956,6023/7468

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 6689/956,6023/7468, numerators are 6689,6023

Denominators are 956,7468

The GCF of 6689,6023 is 1 .

LCM of 956,7468 is 1784852.

The greatest common factor of 6689/956,6023/7468 = [GCF of 6689,6023]/[LCM of 956,7468]= 1/1784852

Therefore, the GCF of 6689/956,6023/7468 is 1/1784852.

Greatest Common Factor of 6689,6023

To find the highest common factor of 6689,6023, we have to find the factors of both numbers and list the highest common factor.

The factors of 6689 are 1, 6689

The factors of 6023 are 1, 19, 317, 6023

The HCF of 6689,6023 is 1.

Lets's calculate GCF of 6689,6023

Greatest Common Factor (GCF) of 6689,6023 By Common Division

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

Greatest Common Factor of 6689,6023 By Matching Biggest Common Factor Method

Now, list down the factors of 6689

1,6689

Now, list down the factors of 6023

1,19,317,6023

Greatest Common Factor

We found the factors 6689,6023 . The biggest common factor number is the GCF number.
So the greatest common factor 6689,6023 is 1.

Lets's calculate LCM of 956,7468

Lowest Common Multiple of 956,7468 using Common Division

2	956, 7468
2	478, 3734
	239, 1867

∴ So the LCM of the given numbers is 2 x 2 x 239 x 1867 = 1784852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1784852

Therefore, the GCF of Fractions 6689/956,6023/7468 is 1/1784852

Least Common Multiple of 956,7468 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 956,7468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,7468) = 4

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

GCF(956,7468) x common factors =4 x 1 = 4

LCM(956,7468) = ( 956 × 7468 ) / 4

LCM(956,7468) = 7139408 / 4

LCM(956,7468) = 1784852

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FAQs on GCF of Fractions of 6689/956, 6023/7468

1. What is the HCF of 6689,6023?

The HCF of 6689,6023 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 6689/956, 6023/7468?

Answer: GCF of Numerators as per given numbers 6689/956, 6023/7468 is

GCF of Numerators i.e. for 6689,6023 is 1

LCM of denominators i.e. for 956,7468 is 1784852.

Thus, GCF of Fractions is 1/1784852.Finally, GCF of Fractions for 6689/956, 6023/7468 is 1/1784852.