GCF of 251/95, 674/7551
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 251/95, 674/7551 i.e 1/717345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 251/95, 674/7551.
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 251/95,674/7551?
Given fractions are 251/95,674/7551
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 251/95,674/7551, numerators are 251,674
Denominators are 95,7551
The GCF of 251,674 is 1 .
LCM of 95,7551 is 717345.
The greatest common factor of 251/95,674/7551 = [GCF of 251,674]/[LCM of 95,7551]= 1/717345
Therefore, the GCF of 251/95,674/7551 is 1/717345.
To find the highest common factor of 251,674, 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 674 are 1, 2, 337, 674
The HCF of 251,674 is 1.
Lets's calculate GCF of 251,674
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 251,674 By Matching Biggest Common Factor Method
Now, list down the factors of 251
:1,251
Now, list down the factors of 674
:1,2,337,674
Greatest Common Factor
We found the factors 251,674 . The biggest common factor number is the GCF number.
So the greatest common factor 251,674 is 1.
Lets's calculate LCM of 95,7551
Given numbers has no common factors except 1. So, there LCM is their product i.e 717345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/717345
Therefore, the GCF of Fractions 251/95,674/7551 is 1/717345
Least Common Multiple of 95,7551 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 95,7551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,7551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,7551) x common factors =1 x 1 = 1
LCM(95,7551) = ( 95 × 7551 ) / 1
LCM(95,7551) = 717345 / 1
LCM(95,7551) = 717345
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 251/95, 674/7551
1. What is the HCF of 251,674?
The HCF of 251,674 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 251/95, 674/7551?
Answer: GCF of Numerators as per given numbers 251/95, 674/7551 is
GCF of Numerators i.e. for 251,674 is 1
LCM of denominators i.e. for 95,7551 is 717345.
Thus, GCF of Fractions is 1/717345.Finally, GCF of Fractions for 251/95, 674/7551 is 1/717345.