How to Find GCF of 9020/317, 2164/3057?

GCF of 9020/317, 2164/3057

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 9020/317, 2164/3057 i.e 4/969069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9020/317, 2164/3057.

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 9020/317,2164/3057?

Given fractions are 9020/317,2164/3057

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 9020/317,2164/3057, numerators are 9020,2164

Denominators are 317,3057

The GCF of 9020,2164 is 4 .

LCM of 317,3057 is 969069.

The greatest common factor of 9020/317,2164/3057 = [GCF of 9020,2164]/[LCM of 317,3057]= 4/969069

Therefore, the GCF of 9020/317,2164/3057 is 4/969069.

Greatest Common Factor of 9020,2164

To find the highest common factor of 9020,2164, we have to find the factors of both numbers and list the highest common factor.

The factors of 9020 are 1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020

The factors of 2164 are 1, 2, 4, 541, 1082, 2164

The HCF of 9020,2164 is 4.

Lets's calculate GCF of 9020,2164

Greatest Common Factor (GCF) of 9020,2164 By Common Division

2	9020, 2164
2	4510, 1082
	2255, 541

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9020,2164 By Matching Biggest Common Factor Method

Now, list down the factors of 9020

1,2,4,5,10,11,20,22,41,44,55,82,110,164,205,220,410,451,820,902,1804,2255,4510,9020

Now, list down the factors of 2164

1,2,4,541,1082,2164

Greatest Common Factor

We found the factors 9020,2164 . The biggest common factor number is the GCF number.
So the greatest common factor 9020,2164 is 4.

Lets's calculate LCM of 317,3057

Lowest Common Multiple of 317,3057 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 969069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/969069

Therefore, the GCF of Fractions 9020/317,2164/3057 is 4/969069

Least Common Multiple of 317,3057 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 317,3057 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,3057) = 1

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

GCF(317,3057) x common factors =1 x 1 = 1

LCM(317,3057) = ( 317 × 3057 ) / 1

LCM(317,3057) = 969069 / 1

LCM(317,3057) = 969069

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9020/317, 2164/3057

1. What is the HCF of 9020,2164?

The HCF of 9020,2164 is 4

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 9020/317, 2164/3057?

Answer: GCF of Numerators as per given numbers 9020/317, 2164/3057 is

GCF of Numerators i.e. for 9020,2164 is 4

LCM of denominators i.e. for 317,3057 is 969069.

Thus, GCF of Fractions is 4/969069.Finally, GCF of Fractions for 9020/317, 2164/3057 is 4/969069.