How to Find GCF of 896/40, 980/9650?

GCF of 896/40, 980/9650

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 896/40, 980/9650 i.e 28/38600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 896/40, 980/9650.

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 896/40,980/9650?

Given fractions are 896/40,980/9650

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 896/40,980/9650, numerators are 896,980

Denominators are 40,9650

The GCF of 896,980 is 28 .

LCM of 40,9650 is 38600.

The greatest common factor of 896/40,980/9650 = [GCF of 896,980]/[LCM of 40,9650]= 28/38600

Therefore, the GCF of 896/40,980/9650 is 28/38600.

Greatest Common Factor of 896,980

To find the highest common factor of 896,980, we have to find the factors of both numbers and list the highest common factor.

The factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

The HCF of 896,980 is 28.

Lets's calculate GCF of 896,980

Greatest Common Factor (GCF) of 896,980 By Common Division

2	896, 980
2	448, 490
7	224, 245
	32, 35

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Greatest Common Factor of 896,980 By Matching Biggest Common Factor Method

Now, list down the factors of 896

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Now, list down the factors of 980

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Greatest Common Factor

We found the factors 896,980 . The biggest common factor number is the GCF number.
So the greatest common factor 896,980 is 28.

Lets's calculate LCM of 40,9650

Lowest Common Multiple of 40,9650 using Common Division

2	40, 9650
5	20, 4825
	4, 965

∴ So the LCM of the given numbers is 2 x 5 x 4 x 965 = 38600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/38600

Therefore, the GCF of Fractions 896/40,980/9650 is 28/38600

Least Common Multiple of 40,9650 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 40,9650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,9650) = 10

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

GCF(40,9650) x common factors =10 x 1 = 10

LCM(40,9650) = ( 40 × 9650 ) / 10

LCM(40,9650) = 386000 / 10

LCM(40,9650) = 38600

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 896/40, 980/9650

1. What is the HCF of 896,980?

The HCF of 896,980 is 28

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 896/40, 980/9650?

Answer: GCF of Numerators as per given numbers 896/40, 980/9650 is

GCF of Numerators i.e. for 896,980 is 28

LCM of denominators i.e. for 40,9650 is 38600.

Thus, GCF of Fractions is 28/38600.Finally, GCF of Fractions for 896/40, 980/9650 is 28/38600.