How to Find GCF of 222/42, 340/551?

GCF of 222/42, 340/551

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 222/42, 340/551 i.e 2/23142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 222/42, 340/551.

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 222/42,340/551?

Given fractions are 222/42,340/551

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 222/42,340/551, numerators are 222,340

Denominators are 42,551

The GCF of 222,340 is 2 .

LCM of 42,551 is 23142.

The greatest common factor of 222/42,340/551 = [GCF of 222,340]/[LCM of 42,551]= 2/23142

Therefore, the GCF of 222/42,340/551 is 2/23142.

Greatest Common Factor of 222,340

To find the highest common factor of 222,340, we have to find the factors of both numbers and list the highest common factor.

The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222

The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

The HCF of 222,340 is 2.

Lets's calculate GCF of 222,340

Greatest Common Factor (GCF) of 222,340 By Common Division

2	222, 340
	111, 170

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

Greatest Common Factor of 222,340 By Matching Biggest Common Factor Method

Now, list down the factors of 222

1,2,3,6,37,74,111,222

Now, list down the factors of 340

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 222,340 . The biggest common factor number is the GCF number.
So the greatest common factor 222,340 is 2.

Lets's calculate LCM of 42,551

Lowest Common Multiple of 42,551 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23142

Therefore, the GCF of Fractions 222/42,340/551 is 2/23142

Least Common Multiple of 42,551 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 42,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,551) = 1

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

GCF(42,551) x common factors =1 x 1 = 1

LCM(42,551) = ( 42 × 551 ) / 1

LCM(42,551) = 23142 / 1

LCM(42,551) = 23142

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FAQs on GCF of Fractions of 222/42, 340/551

1. What is the HCF of 222,340?

The HCF of 222,340 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 222/42, 340/551?

Answer: GCF of Numerators as per given numbers 222/42, 340/551 is

GCF of Numerators i.e. for 222,340 is 2

LCM of denominators i.e. for 42,551 is 23142.

Thus, GCF of Fractions is 2/23142.Finally, GCF of Fractions for 222/42, 340/551 is 2/23142.