How to Find GCF of 3462/922, 3226/7958?

GCF of 3462/922, 3226/7958

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 3462/922, 3226/7958 i.e 2/3668638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3462/922, 3226/7958.

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 3462/922,3226/7958?

Given fractions are 3462/922,3226/7958

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 3462/922,3226/7958, numerators are 3462,3226

Denominators are 922,7958

The GCF of 3462,3226 is 2 .

LCM of 922,7958 is 3668638.

The greatest common factor of 3462/922,3226/7958 = [GCF of 3462,3226]/[LCM of 922,7958]= 2/3668638

Therefore, the GCF of 3462/922,3226/7958 is 2/3668638.

Greatest Common Factor of 3462,3226

To find the highest common factor of 3462,3226, we have to find the factors of both numbers and list the highest common factor.

The factors of 3462 are 1, 2, 3, 6, 577, 1154, 1731, 3462

The factors of 3226 are 1, 2, 1613, 3226

The HCF of 3462,3226 is 2.

Lets's calculate GCF of 3462,3226

Greatest Common Factor (GCF) of 3462,3226 By Common Division

2	3462, 3226
	1731, 1613

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

Greatest Common Factor of 3462,3226 By Matching Biggest Common Factor Method

Now, list down the factors of 3462

1,2,3,6,577,1154,1731,3462

Now, list down the factors of 3226

1,2,1613,3226

Greatest Common Factor

We found the factors 3462,3226 . The biggest common factor number is the GCF number.
So the greatest common factor 3462,3226 is 2.

Lets's calculate LCM of 922,7958

Lowest Common Multiple of 922,7958 using Common Division

2	922, 7958
	461, 3979

∴ So the LCM of the given numbers is 2 x 461 x 3979 = 3668638

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3668638

Therefore, the GCF of Fractions 3462/922,3226/7958 is 2/3668638

Least Common Multiple of 922,7958 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 922,7958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,7958) = 2

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

GCF(922,7958) x common factors =2 x 1 = 2

LCM(922,7958) = ( 922 × 7958 ) / 2

LCM(922,7958) = 7337276 / 2

LCM(922,7958) = 3668638

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FAQs on GCF of Fractions of 3462/922, 3226/7958

1. What is the HCF of 3462,3226?

The HCF of 3462,3226 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 3462/922, 3226/7958?

Answer: GCF of Numerators as per given numbers 3462/922, 3226/7958 is

GCF of Numerators i.e. for 3462,3226 is 2

LCM of denominators i.e. for 922,7958 is 3668638.

Thus, GCF of Fractions is 2/3668638.Finally, GCF of Fractions for 3462/922, 3226/7958 is 2/3668638.