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GCF of 322/550, 421/154

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 322/550, 421/154 i.e 1/3850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 322/550, 421/154.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 322/550,421/154?

Given fractions are 322/550,421/154

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 322/550,421/154, numerators are 322,421

Denominators are 550,154

The GCF of 322,421 is 1 .

LCM of 550,154 is 3850.

The greatest common factor of 322/550,421/154 = [GCF of 322,421]/[LCM of 550,154]= 1/3850

Therefore, the GCF of 322/550,421/154 is 1/3850.

Greatest Common Factor of 322,421

To find the highest common factor of 322,421, we have to find the factors of both numbers and list the highest common factor.

The factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322

The factors of 421 are 1, 421

The HCF of 322,421 is 1.

Lets's calculate GCF of 322,421

Greatest Common Factor (GCF) of 322,421 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 322,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,421 By Matching Biggest Common Factor Method

Now, list down the factors of 322

:

1,2,7,14,23,46,161,322

Now, list down the factors of 421

:

1,421

Greatest Common Factor

We found the factors 322,421 . The biggest common factor number is the GCF number.
So the greatest common factor 322,421 is 1.

Lets's calculate LCM of 550,154

Lowest Common Multiple of 550,154 using Common Division

2 550, 154
11 275, 77
25, 7

∴ So the LCM of the given numbers is 2 x 11 x 25 x 7 = 3850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3850

Therefore, the GCF of Fractions 322/550,421/154 is 1/3850

Least Common Multiple of 550,154 with GCF Formula

Least Common Multiple of 550,154 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 550,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,154) = 22

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

GCF(550,154) x common factors =22 x 1 = 22

LCM(550,154) = ( 550 × 154 ) / 22

LCM(550,154) = 84700 / 22

LCM(550,154) = 3850


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FAQs on GCF of Fractions of 322/550, 421/154

1. What is the HCF of 322,421?

The HCF of 322,421 is 1

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 322/550, 421/154?

Answer: GCF of Numerators as per given numbers 322/550, 421/154 is

GCF of Numerators i.e. for 322,421 is 1

LCM of denominators i.e. for 550,154 is 3850.

Thus, GCF of Fractions is 1/3850.Finally, GCF of Fractions for 322/550, 421/154 is 1/3850.