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GCF of 4019/200, 7978/8747

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 4019/200, 7978/8747 i.e 1/1749400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4019/200, 7978/8747.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4019/200,7978/8747?

Given fractions are 4019/200,7978/8747

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 4019/200,7978/8747, numerators are 4019,7978

Denominators are 200,8747

The GCF of 4019,7978 is 1 .

LCM of 200,8747 is 1749400.

The greatest common factor of 4019/200,7978/8747 = [GCF of 4019,7978]/[LCM of 200,8747]= 1/1749400

Therefore, the GCF of 4019/200,7978/8747 is 1/1749400.

Greatest Common Factor of 4019,7978

To find the highest common factor of 4019,7978, we have to find the factors of both numbers and list the highest common factor.

The factors of 4019 are 1, 4019

The factors of 7978 are 1, 2, 3989, 7978

The HCF of 4019,7978 is 1.

Lets's calculate GCF of 4019,7978

Greatest Common Factor (GCF) of 4019,7978 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4019,7978 By Matching Biggest Common Factor Method

Greatest Common Factor of 4019,7978 By Matching Biggest Common Factor Method

Now, list down the factors of 4019

:

1,4019

Now, list down the factors of 7978

:

1,2,3989,7978

Greatest Common Factor

We found the factors 4019,7978 . The biggest common factor number is the GCF number.
So the greatest common factor 4019,7978 is 1.

Lets's calculate LCM of 200,8747

Lowest Common Multiple of 200,8747 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1749400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1749400

Therefore, the GCF of Fractions 4019/200,7978/8747 is 1/1749400

Least Common Multiple of 200,8747 with GCF Formula

Least Common Multiple of 200,8747 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 200,8747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,8747) = 1

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

GCF(200,8747) x common factors =1 x 1 = 1

LCM(200,8747) = ( 200 × 8747 ) / 1

LCM(200,8747) = 1749400 / 1

LCM(200,8747) = 1749400


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FAQs on GCF of Fractions of 4019/200, 7978/8747

1. What is the HCF of 4019,7978?

The HCF of 4019,7978 is 1

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 4019/200, 7978/8747?

Answer: GCF of Numerators as per given numbers 4019/200, 7978/8747 is

GCF of Numerators i.e. for 4019,7978 is 1

LCM of denominators i.e. for 200,8747 is 1749400.

Thus, GCF of Fractions is 1/1749400.Finally, GCF of Fractions for 4019/200, 7978/8747 is 1/1749400.