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GCF of 7483/223, 7223/947

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 7483/223, 7223/947 i.e 1/211181 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7483/223, 7223/947.

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 7483/223,7223/947?

Given fractions are 7483/223,7223/947

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 7483/223,7223/947, numerators are 7483,7223

Denominators are 223,947

The GCF of 7483,7223 is 1 .

LCM of 223,947 is 211181.

The greatest common factor of 7483/223,7223/947 = [GCF of 7483,7223]/[LCM of 223,947]= 1/211181

Therefore, the GCF of 7483/223,7223/947 is 1/211181.

Greatest Common Factor of 7483,7223

To find the highest common factor of 7483,7223, we have to find the factors of both numbers and list the highest common factor.

The factors of 7483 are 1, 7, 1069, 7483

The factors of 7223 are 1, 31, 233, 7223

The HCF of 7483,7223 is 1.

Lets's calculate GCF of 7483,7223

Greatest Common Factor (GCF) of 7483,7223 By Common Division

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

Greatest Common Factor of 7483,7223 By Matching Biggest Common Factor Method

Greatest Common Factor of 7483,7223 By Matching Biggest Common Factor Method

Now, list down the factors of 7483

:

1,7,1069,7483

Now, list down the factors of 7223

:

1,31,233,7223

Greatest Common Factor

We found the factors 7483,7223 . The biggest common factor number is the GCF number.
So the greatest common factor 7483,7223 is 1.

Lets's calculate LCM of 223,947

Lowest Common Multiple of 223,947 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 211181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211181

Therefore, the GCF of Fractions 7483/223,7223/947 is 1/211181

Least Common Multiple of 223,947 with GCF Formula

Least Common Multiple of 223,947 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 223,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,947) = 1

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

GCF(223,947) x common factors =1 x 1 = 1

LCM(223,947) = ( 223 × 947 ) / 1

LCM(223,947) = 211181 / 1

LCM(223,947) = 211181


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FAQs on GCF of Fractions of 7483/223, 7223/947

1. What is the HCF of 7483,7223?

The HCF of 7483,7223 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 7483/223, 7223/947?

Answer: GCF of Numerators as per given numbers 7483/223, 7223/947 is

GCF of Numerators i.e. for 7483,7223 is 1

LCM of denominators i.e. for 223,947 is 211181.

Thus, GCF of Fractions is 1/211181.Finally, GCF of Fractions for 7483/223, 7223/947 is 1/211181.