How to Find GCF of 6692/233, 7882/9130?

GCF of 6692/233, 7882/9130

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 6692/233, 7882/9130 i.e 14/2127290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6692/233, 7882/9130.

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 6692/233,7882/9130?

Given fractions are 6692/233,7882/9130

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 6692/233,7882/9130, numerators are 6692,7882

Denominators are 233,9130

The GCF of 6692,7882 is 14 .

LCM of 233,9130 is 2127290.

The greatest common factor of 6692/233,7882/9130 = [GCF of 6692,7882]/[LCM of 233,9130]= 14/2127290

Therefore, the GCF of 6692/233,7882/9130 is 14/2127290.

Greatest Common Factor of 6692,7882

To find the highest common factor of 6692,7882, we have to find the factors of both numbers and list the highest common factor.

The factors of 6692 are 1, 2, 4, 7, 14, 28, 239, 478, 956, 1673, 3346, 6692

The factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882

The HCF of 6692,7882 is 14.

Lets's calculate GCF of 6692,7882

Greatest Common Factor (GCF) of 6692,7882 By Common Division

2	6692, 7882
7	3346, 3941
	478, 563

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 6692,7882 By Matching Biggest Common Factor Method

Now, list down the factors of 6692

1,2,4,7,14,28,239,478,956,1673,3346,6692

Now, list down the factors of 7882

1,2,7,14,563,1126,3941,7882

Greatest Common Factor

We found the factors 6692,7882 . The biggest common factor number is the GCF number.
So the greatest common factor 6692,7882 is 14.

Lets's calculate LCM of 233,9130

Lowest Common Multiple of 233,9130 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2127290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2127290

Therefore, the GCF of Fractions 6692/233,7882/9130 is 14/2127290

Least Common Multiple of 233,9130 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 233,9130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,9130) = 1

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

GCF(233,9130) x common factors =1 x 1 = 1

LCM(233,9130) = ( 233 × 9130 ) / 1

LCM(233,9130) = 2127290 / 1

LCM(233,9130) = 2127290

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FAQs on GCF of Fractions of 6692/233, 7882/9130

1. What is the HCF of 6692,7882?

The HCF of 6692,7882 is 14

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 6692/233, 7882/9130?

Answer: GCF of Numerators as per given numbers 6692/233, 7882/9130 is

GCF of Numerators i.e. for 6692,7882 is 14

LCM of denominators i.e. for 233,9130 is 2127290.

Thus, GCF of Fractions is 14/2127290.Finally, GCF of Fractions for 6692/233, 7882/9130 is 14/2127290.