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GCF of 4219/223, 1534/674

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 4219/223, 1534/674 i.e 1/150302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4219/223, 1534/674.

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 4219/223,1534/674?

Given fractions are 4219/223,1534/674

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 4219/223,1534/674, numerators are 4219,1534

Denominators are 223,674

The GCF of 4219,1534 is 1 .

LCM of 223,674 is 150302.

The greatest common factor of 4219/223,1534/674 = [GCF of 4219,1534]/[LCM of 223,674]= 1/150302

Therefore, the GCF of 4219/223,1534/674 is 1/150302.

Greatest Common Factor of 4219,1534

To find the highest common factor of 4219,1534, we have to find the factors of both numbers and list the highest common factor.

The factors of 4219 are 1, 4219

The factors of 1534 are 1, 2, 13, 26, 59, 118, 767, 1534

The HCF of 4219,1534 is 1.

Lets's calculate GCF of 4219,1534

Greatest Common Factor (GCF) of 4219,1534 By Common Division

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

Greatest Common Factor of 4219,1534 By Matching Biggest Common Factor Method

Greatest Common Factor of 4219,1534 By Matching Biggest Common Factor Method

Now, list down the factors of 4219

:

1,4219

Now, list down the factors of 1534

:

1,2,13,26,59,118,767,1534

Greatest Common Factor

We found the factors 4219,1534 . The biggest common factor number is the GCF number.
So the greatest common factor 4219,1534 is 1.

Lets's calculate LCM of 223,674

Lowest Common Multiple of 223,674 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 150302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150302

Therefore, the GCF of Fractions 4219/223,1534/674 is 1/150302

Least Common Multiple of 223,674 with GCF Formula

Least Common Multiple of 223,674 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 223,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,674) = 1

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

GCF(223,674) x common factors =1 x 1 = 1

LCM(223,674) = ( 223 × 674 ) / 1

LCM(223,674) = 150302 / 1

LCM(223,674) = 150302


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FAQs on GCF of Fractions of 4219/223, 1534/674

1. What is the HCF of 4219,1534?

The HCF of 4219,1534 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 4219/223, 1534/674?

Answer: GCF of Numerators as per given numbers 4219/223, 1534/674 is

GCF of Numerators i.e. for 4219,1534 is 1

LCM of denominators i.e. for 223,674 is 150302.

Thus, GCF of Fractions is 1/150302.Finally, GCF of Fractions for 4219/223, 1534/674 is 1/150302.