GCF of 307/55, 719/466
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 307/55, 719/466 i.e 1/25630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 307/55, 719/466.
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 307/55,719/466?
Given fractions are 307/55,719/466
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 307/55,719/466, numerators are 307,719
Denominators are 55,466
The GCF of 307,719 is 1 .
LCM of 55,466 is 25630.
The greatest common factor of 307/55,719/466 = [GCF of 307,719]/[LCM of 55,466]= 1/25630
Therefore, the GCF of 307/55,719/466 is 1/25630.
To find the highest common factor of 307,719, we have to find the factors of both numbers and list the highest common factor.
The factors of 307 are 1, 307
The factors of 719 are 1, 719
The HCF of 307,719 is 1.
Lets's calculate GCF of 307,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 307,719 By Matching Biggest Common Factor Method
Now, list down the factors of 307
:1,307
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 307,719 . The biggest common factor number is the GCF number.
So the greatest common factor 307,719 is 1.
Lets's calculate LCM of 55,466
Given numbers has no common factors except 1. So, there LCM is their product i.e 25630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25630
Therefore, the GCF of Fractions 307/55,719/466 is 1/25630
Least Common Multiple of 55,466 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 55,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,466) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,466) x common factors =1 x 1 = 1
LCM(55,466) = ( 55 × 466 ) / 1
LCM(55,466) = 25630 / 1
LCM(55,466) = 25630
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 307/55, 719/466
1. What is the HCF of 307,719?
The HCF of 307,719 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 307/55, 719/466?
Answer: GCF of Numerators as per given numbers 307/55, 719/466 is
GCF of Numerators i.e. for 307,719 is 1
LCM of denominators i.e. for 55,466 is 25630.
Thus, GCF of Fractions is 1/25630.Finally, GCF of Fractions for 307/55, 719/466 is 1/25630.