How to Find GCF of 4770/298, 1072/8021?

GCF of 4770/298, 1072/8021

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 4770/298, 1072/8021 i.e 2/2390258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4770/298, 1072/8021.

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 4770/298,1072/8021?

Given fractions are 4770/298,1072/8021

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 4770/298,1072/8021, numerators are 4770,1072

Denominators are 298,8021

The GCF of 4770,1072 is 2 .

LCM of 298,8021 is 2390258.

The greatest common factor of 4770/298,1072/8021 = [GCF of 4770,1072]/[LCM of 298,8021]= 2/2390258

Therefore, the GCF of 4770/298,1072/8021 is 2/2390258.

Greatest Common Factor of 4770,1072

To find the highest common factor of 4770,1072, we have to find the factors of both numbers and list the highest common factor.

The factors of 4770 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385, 4770

The factors of 1072 are 1, 2, 4, 8, 16, 67, 134, 268, 536, 1072

The HCF of 4770,1072 is 2.

Lets's calculate GCF of 4770,1072

Greatest Common Factor (GCF) of 4770,1072 By Common Division

2	4770, 1072
	2385, 536

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

Greatest Common Factor of 4770,1072 By Matching Biggest Common Factor Method

Now, list down the factors of 4770

1,2,3,5,6,9,10,15,18,30,45,53,90,106,159,265,318,477,530,795,954,1590,2385,4770

Now, list down the factors of 1072

1,2,4,8,16,67,134,268,536,1072

Greatest Common Factor

We found the factors 4770,1072 . The biggest common factor number is the GCF number.
So the greatest common factor 4770,1072 is 2.

Lets's calculate LCM of 298,8021

Lowest Common Multiple of 298,8021 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2390258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2390258

Therefore, the GCF of Fractions 4770/298,1072/8021 is 2/2390258

Least Common Multiple of 298,8021 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 298,8021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,8021) = 1

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

GCF(298,8021) x common factors =1 x 1 = 1

LCM(298,8021) = ( 298 × 8021 ) / 1

LCM(298,8021) = 2390258 / 1

LCM(298,8021) = 2390258

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4770/298, 1072/8021

1. What is the HCF of 4770,1072?

The HCF of 4770,1072 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 4770/298, 1072/8021?

Answer: GCF of Numerators as per given numbers 4770/298, 1072/8021 is

GCF of Numerators i.e. for 4770,1072 is 2

LCM of denominators i.e. for 298,8021 is 2390258.

Thus, GCF of Fractions is 2/2390258.Finally, GCF of Fractions for 4770/298, 1072/8021 is 2/2390258.