GCF of 7319/343, 4972/500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7319/343, 4972/500 i.e 1/171500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7319/343, 4972/500.
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 7319/343,4972/500?
Given fractions are 7319/343,4972/500
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 7319/343,4972/500, numerators are 7319,4972
Denominators are 343,500
The GCF of 7319,4972 is 1 .
LCM of 343,500 is 171500.
The greatest common factor of 7319/343,4972/500 = [GCF of 7319,4972]/[LCM of 343,500]= 1/171500
Therefore, the GCF of 7319/343,4972/500 is 1/171500.
To find the highest common factor of 7319,4972, we have to find the factors of both numbers and list the highest common factor.
The factors of 7319 are 1, 13, 563, 7319
The factors of 4972 are 1, 2, 4, 11, 22, 44, 113, 226, 452, 1243, 2486, 4972
The HCF of 7319,4972 is 1.
Lets's calculate GCF of 7319,4972
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7319,4972 By Matching Biggest Common Factor Method
Now, list down the factors of 7319
:1,13,563,7319
Now, list down the factors of 4972
:1,2,4,11,22,44,113,226,452,1243,2486,4972
Greatest Common Factor
We found the factors 7319,4972 . The biggest common factor number is the GCF number.
So the greatest common factor 7319,4972 is 1.
Lets's calculate LCM of 343,500
Given numbers has no common factors except 1. So, there LCM is their product i.e 171500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/171500
Therefore, the GCF of Fractions 7319/343,4972/500 is 1/171500
Least Common Multiple of 343,500 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 343,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,500) x common factors =1 x 1 = 1
LCM(343,500) = ( 343 × 500 ) / 1
LCM(343,500) = 171500 / 1
LCM(343,500) = 171500
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FAQs on GCF of Fractions of 7319/343, 4972/500
1. What is the HCF of 7319,4972?
The HCF of 7319,4972 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 7319/343, 4972/500?
Answer: GCF of Numerators as per given numbers 7319/343, 4972/500 is
GCF of Numerators i.e. for 7319,4972 is 1
LCM of denominators i.e. for 343,500 is 171500.
Thus, GCF of Fractions is 1/171500.Finally, GCF of Fractions for 7319/343, 4972/500 is 1/171500.