How to Find GCF of 884/35, 980/962?

GCF of 884/35, 980/962

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 884/35, 980/962 i.e 4/33670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 884/35, 980/962.

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 884/35,980/962?

Given fractions are 884/35,980/962

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 884/35,980/962, numerators are 884,980

Denominators are 35,962

The GCF of 884,980 is 4 .

LCM of 35,962 is 33670.

The greatest common factor of 884/35,980/962 = [GCF of 884,980]/[LCM of 35,962]= 4/33670

Therefore, the GCF of 884/35,980/962 is 4/33670.

Greatest Common Factor of 884,980

To find the highest common factor of 884,980, 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 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

The HCF of 884,980 is 4.

Lets's calculate GCF of 884,980

Greatest Common Factor (GCF) of 884,980 By Common Division

2	884, 980
2	442, 490
	221, 245

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

Greatest Common Factor of 884,980 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 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 884,980 . The biggest common factor number is the GCF number.
So the greatest common factor 884,980 is 4.

Lets's calculate LCM of 35,962

Lowest Common Multiple of 35,962 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 33670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/33670

Therefore, the GCF of Fractions 884/35,980/962 is 4/33670

Least Common Multiple of 35,962 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 35,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,962) = 1

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

GCF(35,962) x common factors =1 x 1 = 1

LCM(35,962) = ( 35 × 962 ) / 1

LCM(35,962) = 33670 / 1

LCM(35,962) = 33670

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FAQs on GCF of Fractions of 884/35, 980/962

1. What is the HCF of 884,980?

The HCF of 884,980 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 884/35, 980/962?

Answer: GCF of Numerators as per given numbers 884/35, 980/962 is

GCF of Numerators i.e. for 884,980 is 4

LCM of denominators i.e. for 35,962 is 33670.

Thus, GCF of Fractions is 4/33670.Finally, GCF of Fractions for 884/35, 980/962 is 4/33670.