How to Find GCF of 2506/607, 2220/3358?

GCF of 2506/607, 2220/3358

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 2506/607, 2220/3358 i.e 2/2038306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2506/607, 2220/3358.

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 2506/607,2220/3358?

Given fractions are 2506/607,2220/3358

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 2506/607,2220/3358, numerators are 2506,2220

Denominators are 607,3358

The GCF of 2506,2220 is 2 .

LCM of 607,3358 is 2038306.

The greatest common factor of 2506/607,2220/3358 = [GCF of 2506,2220]/[LCM of 607,3358]= 2/2038306

Therefore, the GCF of 2506/607,2220/3358 is 2/2038306.

Greatest Common Factor of 2506,2220

To find the highest common factor of 2506,2220, we have to find the factors of both numbers and list the highest common factor.

The factors of 2506 are 1, 2, 7, 14, 179, 358, 1253, 2506

The factors of 2220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220

The HCF of 2506,2220 is 2.

Lets's calculate GCF of 2506,2220

Greatest Common Factor (GCF) of 2506,2220 By Common Division

2	2506, 2220
	1253, 1110

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

Greatest Common Factor of 2506,2220 By Matching Biggest Common Factor Method

Now, list down the factors of 2506

1,2,7,14,179,358,1253,2506

Now, list down the factors of 2220

1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220

Greatest Common Factor

We found the factors 2506,2220 . The biggest common factor number is the GCF number.
So the greatest common factor 2506,2220 is 2.

Lets's calculate LCM of 607,3358

Lowest Common Multiple of 607,3358 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2038306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2038306

Therefore, the GCF of Fractions 2506/607,2220/3358 is 2/2038306

Least Common Multiple of 607,3358 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 607,3358 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,3358) = 1

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

GCF(607,3358) x common factors =1 x 1 = 1

LCM(607,3358) = ( 607 × 3358 ) / 1

LCM(607,3358) = 2038306 / 1

LCM(607,3358) = 2038306

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2506/607, 2220/3358

1. What is the HCF of 2506,2220?

The HCF of 2506,2220 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 2506/607, 2220/3358?

Answer: GCF of Numerators as per given numbers 2506/607, 2220/3358 is

GCF of Numerators i.e. for 2506,2220 is 2

LCM of denominators i.e. for 607,3358 is 2038306.

Thus, GCF of Fractions is 2/2038306.Finally, GCF of Fractions for 2506/607, 2220/3358 is 2/2038306.