How to Find GCF of 2998/100, 1988/7859?

GCF of 2998/100, 1988/7859

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 2998/100, 1988/7859 i.e 2/785900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2998/100, 1988/7859.

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 2998/100,1988/7859?

Given fractions are 2998/100,1988/7859

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 2998/100,1988/7859, numerators are 2998,1988

Denominators are 100,7859

The GCF of 2998,1988 is 2 .

LCM of 100,7859 is 785900.

The greatest common factor of 2998/100,1988/7859 = [GCF of 2998,1988]/[LCM of 100,7859]= 2/785900

Therefore, the GCF of 2998/100,1988/7859 is 2/785900.

Greatest Common Factor of 2998,1988

To find the highest common factor of 2998,1988, we have to find the factors of both numbers and list the highest common factor.

The factors of 2998 are 1, 2, 1499, 2998

The factors of 1988 are 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988

The HCF of 2998,1988 is 2.

Lets's calculate GCF of 2998,1988

Greatest Common Factor (GCF) of 2998,1988 By Common Division

2	2998, 1988
	1499, 994

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

Greatest Common Factor of 2998,1988 By Matching Biggest Common Factor Method

Now, list down the factors of 2998

1,2,1499,2998

Now, list down the factors of 1988

1,2,4,7,14,28,71,142,284,497,994,1988

Greatest Common Factor

We found the factors 2998,1988 . The biggest common factor number is the GCF number.
So the greatest common factor 2998,1988 is 2.

Lets's calculate LCM of 100,7859

Lowest Common Multiple of 100,7859 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 785900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/785900

Therefore, the GCF of Fractions 2998/100,1988/7859 is 2/785900

Least Common Multiple of 100,7859 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 100,7859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,7859) = 1

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

GCF(100,7859) x common factors =1 x 1 = 1

LCM(100,7859) = ( 100 × 7859 ) / 1

LCM(100,7859) = 785900 / 1

LCM(100,7859) = 785900

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FAQs on GCF of Fractions of 2998/100, 1988/7859

1. What is the HCF of 2998,1988?

The HCF of 2998,1988 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 2998/100, 1988/7859?

Answer: GCF of Numerators as per given numbers 2998/100, 1988/7859 is

GCF of Numerators i.e. for 2998,1988 is 2

LCM of denominators i.e. for 100,7859 is 785900.

Thus, GCF of Fractions is 2/785900.Finally, GCF of Fractions for 2998/100, 1988/7859 is 2/785900.