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GCF of 437/80, 310/222

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 437/80, 310/222 i.e 1/8880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/80, 310/222.

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 437/80,310/222?

Given fractions are 437/80,310/222

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 437/80,310/222, numerators are 437,310

Denominators are 80,222

The GCF of 437,310 is 1 .

LCM of 80,222 is 8880.

The greatest common factor of 437/80,310/222 = [GCF of 437,310]/[LCM of 80,222]= 1/8880

Therefore, the GCF of 437/80,310/222 is 1/8880.

Greatest Common Factor of 437,310

To find the highest common factor of 437,310, we have to find the factors of both numbers and list the highest common factor.

The factors of 437 are 1, 19, 23, 437

The factors of 310 are 1, 2, 5, 10, 31, 62, 155, 310

The HCF of 437,310 is 1.

Lets's calculate GCF of 437,310

Greatest Common Factor (GCF) of 437,310 By Common Division

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

Greatest Common Factor of 437,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,310 By Matching Biggest Common Factor Method

Now, list down the factors of 437

:

1,19,23,437

Now, list down the factors of 310

:

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 437,310 . The biggest common factor number is the GCF number.
So the greatest common factor 437,310 is 1.

Lets's calculate LCM of 80,222

Lowest Common Multiple of 80,222 using Common Division

2 80, 222
40, 111

∴ So the LCM of the given numbers is 2 x 40 x 111 = 8880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8880

Therefore, the GCF of Fractions 437/80,310/222 is 1/8880

Least Common Multiple of 80,222 with GCF Formula

Least Common Multiple of 80,222 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 80,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,222) = 2

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

GCF(80,222) x common factors =2 x 1 = 2

LCM(80,222) = ( 80 × 222 ) / 2

LCM(80,222) = 17760 / 2

LCM(80,222) = 8880


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FAQs on GCF of Fractions of 437/80, 310/222

1. What is the HCF of 437,310?

The HCF of 437,310 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 437/80, 310/222?

Answer: GCF of Numerators as per given numbers 437/80, 310/222 is

GCF of Numerators i.e. for 437,310 is 1

LCM of denominators i.e. for 80,222 is 8880.

Thus, GCF of Fractions is 1/8880.Finally, GCF of Fractions for 437/80, 310/222 is 1/8880.