How to Find GCF of 340/970, 2808/538?

GCF of 340/970, 2808/538

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 340/970, 2808/538 i.e 4/260930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/970, 2808/538.

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 340/970,2808/538?

Given fractions are 340/970,2808/538

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 340/970,2808/538, numerators are 340,2808

Denominators are 970,538

The GCF of 340,2808 is 4 .

LCM of 970,538 is 260930.

The greatest common factor of 340/970,2808/538 = [GCF of 340,2808]/[LCM of 970,538]= 4/260930

Therefore, the GCF of 340/970,2808/538 is 4/260930.

Greatest Common Factor of 340,2808

To find the highest common factor of 340,2808, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 2808 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 27, 36, 39, 52, 54, 72, 78, 104, 108, 117, 156, 216, 234, 312, 351, 468, 702, 936, 1404, 2808

The HCF of 340,2808 is 4.

Lets's calculate GCF of 340,2808

Greatest Common Factor (GCF) of 340,2808 By Common Division

2	340, 2808
2	170, 1404
	85, 702

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 340,2808 By Matching Biggest Common Factor Method

Now, list down the factors of 340

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

Now, list down the factors of 2808

1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,104,108,117,156,216,234,312,351,468,702,936,1404,2808

Greatest Common Factor

We found the factors 340,2808 . The biggest common factor number is the GCF number.
So the greatest common factor 340,2808 is 4.

Lets's calculate LCM of 970,538

Lowest Common Multiple of 970,538 using Common Division

2	970, 538
	485, 269

∴ So the LCM of the given numbers is 2 x 485 x 269 = 260930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/260930

Therefore, the GCF of Fractions 340/970,2808/538 is 4/260930

Least Common Multiple of 970,538 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 970,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,538) = 2

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

GCF(970,538) x common factors =2 x 1 = 2

LCM(970,538) = ( 970 × 538 ) / 2

LCM(970,538) = 521860 / 2

LCM(970,538) = 260930

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FAQs on GCF of Fractions of 340/970, 2808/538

1. What is the HCF of 340,2808?

The HCF of 340,2808 is 4

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 340/970, 2808/538?

Answer: GCF of Numerators as per given numbers 340/970, 2808/538 is

GCF of Numerators i.e. for 340,2808 is 4

LCM of denominators i.e. for 970,538 is 260930.

Thus, GCF of Fractions is 4/260930.Finally, GCF of Fractions for 340/970, 2808/538 is 4/260930.