How to Find GCF of 4019/752, 6028/705?

GCF of 4019/752, 6028/705

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 4019/752, 6028/705 i.e 1/11280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4019/752, 6028/705.

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 4019/752,6028/705?

Given fractions are 4019/752,6028/705

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 4019/752,6028/705, numerators are 4019,6028

Denominators are 752,705

The GCF of 4019,6028 is 1 .

LCM of 752,705 is 11280.

The greatest common factor of 4019/752,6028/705 = [GCF of 4019,6028]/[LCM of 752,705]= 1/11280

Therefore, the GCF of 4019/752,6028/705 is 1/11280.

Greatest Common Factor of 4019,6028

To find the highest common factor of 4019,6028, 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 6028 are 1, 2, 4, 11, 22, 44, 137, 274, 548, 1507, 3014, 6028

The HCF of 4019,6028 is 1.

Lets's calculate GCF of 4019,6028

Greatest Common Factor (GCF) of 4019,6028 By Common Division

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

Greatest Common Factor of 4019,6028 By Matching Biggest Common Factor Method

Now, list down the factors of 4019

1,4019

Now, list down the factors of 6028

1,2,4,11,22,44,137,274,548,1507,3014,6028

Greatest Common Factor

We found the factors 4019,6028 . The biggest common factor number is the GCF number.
So the greatest common factor 4019,6028 is 1.

Lets's calculate LCM of 752,705

Lowest Common Multiple of 752,705 using Common Division

47	752, 705
	16, 15

∴ So the LCM of the given numbers is 47 x 16 x 15 = 11280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11280

Therefore, the GCF of Fractions 4019/752,6028/705 is 1/11280

Least Common Multiple of 752,705 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 752,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(752,705) = 47

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

GCF(752,705) x common factors =47 x 1 = 47

LCM(752,705) = ( 752 × 705 ) / 47

LCM(752,705) = 530160 / 47

LCM(752,705) = 11280

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FAQs on GCF of Fractions of 4019/752, 6028/705

1. What is the HCF of 4019,6028?

The HCF of 4019,6028 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 4019/752, 6028/705?

Answer: GCF of Numerators as per given numbers 4019/752, 6028/705 is

GCF of Numerators i.e. for 4019,6028 is 1

LCM of denominators i.e. for 752,705 is 11280.

Thus, GCF of Fractions is 1/11280.Finally, GCF of Fractions for 4019/752, 6028/705 is 1/11280.