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GCF of 6883/857, 4223/8278

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 6883/857, 4223/8278 i.e 1/7094246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6883/857, 4223/8278.

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 6883/857,4223/8278?

Given fractions are 6883/857,4223/8278

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 6883/857,4223/8278, numerators are 6883,4223

Denominators are 857,8278

The GCF of 6883,4223 is 1 .

LCM of 857,8278 is 7094246.

The greatest common factor of 6883/857,4223/8278 = [GCF of 6883,4223]/[LCM of 857,8278]= 1/7094246

Therefore, the GCF of 6883/857,4223/8278 is 1/7094246.

Greatest Common Factor of 6883,4223

To find the highest common factor of 6883,4223, we have to find the factors of both numbers and list the highest common factor.

The factors of 6883 are 1, 6883

The factors of 4223 are 1, 41, 103, 4223

The HCF of 6883,4223 is 1.

Lets's calculate GCF of 6883,4223

Greatest Common Factor (GCF) of 6883,4223 By Common Division

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

Greatest Common Factor of 6883,4223 By Matching Biggest Common Factor Method

Greatest Common Factor of 6883,4223 By Matching Biggest Common Factor Method

Now, list down the factors of 6883

:

1,6883

Now, list down the factors of 4223

:

1,41,103,4223

Greatest Common Factor

We found the factors 6883,4223 . The biggest common factor number is the GCF number.
So the greatest common factor 6883,4223 is 1.

Lets's calculate LCM of 857,8278

Lowest Common Multiple of 857,8278 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7094246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7094246

Therefore, the GCF of Fractions 6883/857,4223/8278 is 1/7094246

Least Common Multiple of 857,8278 with GCF Formula

Least Common Multiple of 857,8278 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 857,8278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,8278) = 1

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

GCF(857,8278) x common factors =1 x 1 = 1

LCM(857,8278) = ( 857 × 8278 ) / 1

LCM(857,8278) = 7094246 / 1

LCM(857,8278) = 7094246


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FAQs on GCF of Fractions of 6883/857, 4223/8278

1. What is the HCF of 6883,4223?

The HCF of 6883,4223 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 6883/857, 4223/8278?

Answer: GCF of Numerators as per given numbers 6883/857, 4223/8278 is

GCF of Numerators i.e. for 6883,4223 is 1

LCM of denominators i.e. for 857,8278 is 7094246.

Thus, GCF of Fractions is 1/7094246.Finally, GCF of Fractions for 6883/857, 4223/8278 is 1/7094246.