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GCF of 884/28, 340/311

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 884/28, 340/311 i.e 68/8708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/28, 340/311.

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 884/28,340/311?

Given fractions are 884/28,340/311

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 884/28,340/311, numerators are 884,340

Denominators are 28,311

The GCF of 884,340 is 68 .

LCM of 28,311 is 8708.

The greatest common factor of 884/28,340/311 = [GCF of 884,340]/[LCM of 28,311]= 68/8708

Therefore, the GCF of 884/28,340/311 is 68/8708.

Greatest Common Factor of 884,340

To find the highest common factor of 884,340, we have to find the factors of both numbers and list the highest common factor.

The factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

The HCF of 884,340 is 68.

Lets's calculate GCF of 884,340

Greatest Common Factor (GCF) of 884,340 By Common Division

2 884, 340
2 442, 170
17 221, 85
13, 5

∴ So the GCF of the given numbers is 2 x 2 x 17 = 68

Greatest Common Factor of 884,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 884,340 By Matching Biggest Common Factor Method

Now, list down the factors of 884

:

1,2,4,13,17,26,34,52,68,221,442,884

Now, list down the factors of 340

:

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 884,340 . The biggest common factor number is the GCF number.
So the greatest common factor 884,340 is 68.

Lets's calculate LCM of 28,311

Lowest Common Multiple of 28,311 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/8708

Therefore, the GCF of Fractions 884/28,340/311 is 68/8708

Least Common Multiple of 28,311 with GCF Formula

Least Common Multiple of 28,311 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 28,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,311) = 1

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

GCF(28,311) x common factors =1 x 1 = 1

LCM(28,311) = ( 28 × 311 ) / 1

LCM(28,311) = 8708 / 1

LCM(28,311) = 8708


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FAQs on GCF of Fractions of 884/28, 340/311

1. What is the HCF of 884,340?

The HCF of 884,340 is 68

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 884/28, 340/311?

Answer: GCF of Numerators as per given numbers 884/28, 340/311 is

GCF of Numerators i.e. for 884,340 is 68

LCM of denominators i.e. for 28,311 is 8708.

Thus, GCF of Fractions is 68/8708.Finally, GCF of Fractions for 884/28, 340/311 is 68/8708.