GCF of 7219/137, 3724/6258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7219/137, 3724/6258 i.e 1/857346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7219/137, 3724/6258.
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 7219/137,3724/6258?
Given fractions are 7219/137,3724/6258
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 7219/137,3724/6258, numerators are 7219,3724
Denominators are 137,6258
The GCF of 7219,3724 is 1 .
LCM of 137,6258 is 857346.
The greatest common factor of 7219/137,3724/6258 = [GCF of 7219,3724]/[LCM of 137,6258]= 1/857346
Therefore, the GCF of 7219/137,3724/6258 is 1/857346.
To find the highest common factor of 7219,3724, we have to find the factors of both numbers and list the highest common factor.
The factors of 7219 are 1, 7219
The factors of 3724 are 1, 2, 4, 7, 14, 19, 28, 38, 49, 76, 98, 133, 196, 266, 532, 931, 1862, 3724
The HCF of 7219,3724 is 1.
Lets's calculate GCF of 7219,3724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7219,3724 By Matching Biggest Common Factor Method
Now, list down the factors of 7219
:1,7219
Now, list down the factors of 3724
:1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724
Greatest Common Factor
We found the factors 7219,3724 . The biggest common factor number is the GCF number.
So the greatest common factor 7219,3724 is 1.
Lets's calculate LCM of 137,6258
Given numbers has no common factors except 1. So, there LCM is their product i.e 857346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/857346
Therefore, the GCF of Fractions 7219/137,3724/6258 is 1/857346
Least Common Multiple of 137,6258 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 137,6258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,6258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,6258) x common factors =1 x 1 = 1
LCM(137,6258) = ( 137 × 6258 ) / 1
LCM(137,6258) = 857346 / 1
LCM(137,6258) = 857346
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7219/137, 3724/6258
1. What is the HCF of 7219,3724?
The HCF of 7219,3724 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 7219/137, 3724/6258?
Answer: GCF of Numerators as per given numbers 7219/137, 3724/6258 is
GCF of Numerators i.e. for 7219,3724 is 1
LCM of denominators i.e. for 137,6258 is 857346.
Thus, GCF of Fractions is 1/857346.Finally, GCF of Fractions for 7219/137, 3724/6258 is 1/857346.