How to Find GCF of 870/92, 800/8984?

GCF of 870/92, 800/8984

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 870/92, 800/8984 i.e 10/206632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 870/92, 800/8984.

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 870/92,800/8984?

Given fractions are 870/92,800/8984

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 870/92,800/8984, numerators are 870,800

Denominators are 92,8984

The GCF of 870,800 is 10 .

LCM of 92,8984 is 206632.

The greatest common factor of 870/92,800/8984 = [GCF of 870,800]/[LCM of 92,8984]= 10/206632

Therefore, the GCF of 870/92,800/8984 is 10/206632.

Greatest Common Factor of 870,800

To find the highest common factor of 870,800, we have to find the factors of both numbers and list the highest common factor.

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

The HCF of 870,800 is 10.

Lets's calculate GCF of 870,800

Greatest Common Factor (GCF) of 870,800 By Common Division

2	870, 800
5	435, 400
	87, 80

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 870,800 By Matching Biggest Common Factor Method

Now, list down the factors of 870

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Now, list down the factors of 800

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 870,800 . The biggest common factor number is the GCF number.
So the greatest common factor 870,800 is 10.

Lets's calculate LCM of 92,8984

Lowest Common Multiple of 92,8984 using Common Division

2	92, 8984
2	46, 4492
	23, 2246

∴ So the LCM of the given numbers is 2 x 2 x 23 x 2246 = 206632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/206632

Therefore, the GCF of Fractions 870/92,800/8984 is 10/206632

Least Common Multiple of 92,8984 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 92,8984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,8984) = 4

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

GCF(92,8984) x common factors =4 x 1 = 4

LCM(92,8984) = ( 92 × 8984 ) / 4

LCM(92,8984) = 826528 / 4

LCM(92,8984) = 206632

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FAQs on GCF of Fractions of 870/92, 800/8984

1. What is the HCF of 870,800?

The HCF of 870,800 is 10

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 870/92, 800/8984?

Answer: GCF of Numerators as per given numbers 870/92, 800/8984 is

GCF of Numerators i.e. for 870,800 is 10

LCM of denominators i.e. for 92,8984 is 206632.

Thus, GCF of Fractions is 10/206632.Finally, GCF of Fractions for 870/92, 800/8984 is 10/206632.