How to Find GCF of 2896/570, 7030/7090?

GCF of 2896/570, 7030/7090

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 2896/570, 7030/7090 i.e 2/404130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2896/570, 7030/7090.

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 2896/570,7030/7090?

Given fractions are 2896/570,7030/7090

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 2896/570,7030/7090, numerators are 2896,7030

Denominators are 570,7090

The GCF of 2896,7030 is 2 .

LCM of 570,7090 is 404130.

The greatest common factor of 2896/570,7030/7090 = [GCF of 2896,7030]/[LCM of 570,7090]= 2/404130

Therefore, the GCF of 2896/570,7030/7090 is 2/404130.

Greatest Common Factor of 2896,7030

To find the highest common factor of 2896,7030, we have to find the factors of both numbers and list the highest common factor.

The factors of 2896 are 1, 2, 4, 8, 16, 181, 362, 724, 1448, 2896

The factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030

The HCF of 2896,7030 is 2.

Lets's calculate GCF of 2896,7030

Greatest Common Factor (GCF) of 2896,7030 By Common Division

2	2896, 7030
	1448, 3515

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

Greatest Common Factor of 2896,7030 By Matching Biggest Common Factor Method

Now, list down the factors of 2896

1,2,4,8,16,181,362,724,1448,2896

Now, list down the factors of 7030

1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030

Greatest Common Factor

We found the factors 2896,7030 . The biggest common factor number is the GCF number.
So the greatest common factor 2896,7030 is 2.

Lets's calculate LCM of 570,7090

Lowest Common Multiple of 570,7090 using Common Division

2	570, 7090
5	285, 3545
	57, 709

∴ So the LCM of the given numbers is 2 x 5 x 57 x 709 = 404130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/404130

Therefore, the GCF of Fractions 2896/570,7030/7090 is 2/404130

Least Common Multiple of 570,7090 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 570,7090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,7090) = 10

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

GCF(570,7090) x common factors =10 x 1 = 10

LCM(570,7090) = ( 570 × 7090 ) / 10

LCM(570,7090) = 4041300 / 10

LCM(570,7090) = 404130

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FAQs on GCF of Fractions of 2896/570, 7030/7090

1. What is the HCF of 2896,7030?

The HCF of 2896,7030 is 2

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 2896/570, 7030/7090?

Answer: GCF of Numerators as per given numbers 2896/570, 7030/7090 is

GCF of Numerators i.e. for 2896,7030 is 2

LCM of denominators i.e. for 570,7090 is 404130.

Thus, GCF of Fractions is 2/404130.Finally, GCF of Fractions for 2896/570, 7030/7090 is 2/404130.