GCF of 251/78, 421/271
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 251/78, 421/271 i.e 1/21138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 251/78, 421/271.
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 251/78,421/271?
Given fractions are 251/78,421/271
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 251/78,421/271, numerators are 251,421
Denominators are 78,271
The GCF of 251,421 is 1 .
LCM of 78,271 is 21138.
The greatest common factor of 251/78,421/271 = [GCF of 251,421]/[LCM of 78,271]= 1/21138
Therefore, the GCF of 251/78,421/271 is 1/21138.
To find the highest common factor of 251,421, we have to find the factors of both numbers and list the highest common factor.
The factors of 251 are 1, 251
The factors of 421 are 1, 421
The HCF of 251,421 is 1.
Lets's calculate GCF of 251,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 251,421 By Matching Biggest Common Factor Method
Now, list down the factors of 251
:1,251
Now, list down the factors of 421
:1,421
Greatest Common Factor
We found the factors 251,421 . The biggest common factor number is the GCF number.
So the greatest common factor 251,421 is 1.
Lets's calculate LCM of 78,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 21138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21138
Therefore, the GCF of Fractions 251/78,421/271 is 1/21138
Least Common Multiple of 78,271 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 78,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,271) x common factors =1 x 1 = 1
LCM(78,271) = ( 78 × 271 ) / 1
LCM(78,271) = 21138 / 1
LCM(78,271) = 21138
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 251/78, 421/271
1. What is the HCF of 251,421?
The HCF of 251,421 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 251/78, 421/271?
Answer: GCF of Numerators as per given numbers 251/78, 421/271 is
GCF of Numerators i.e. for 251,421 is 1
LCM of denominators i.e. for 78,271 is 21138.
Thus, GCF of Fractions is 1/21138.Finally, GCF of Fractions for 251/78, 421/271 is 1/21138.