GCF of 674/151, 757/678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 674/151, 757/678 i.e 1/102378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/151, 757/678.
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 674/151,757/678?
Given fractions are 674/151,757/678
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 674/151,757/678, numerators are 674,757
Denominators are 151,678
The GCF of 674,757 is 1 .
LCM of 151,678 is 102378.
The greatest common factor of 674/151,757/678 = [GCF of 674,757]/[LCM of 151,678]= 1/102378
Therefore, the GCF of 674/151,757/678 is 1/102378.
To find the highest common factor of 674,757, we have to find the factors of both numbers and list the highest common factor.
The factors of 674 are 1, 2, 337, 674
The factors of 757 are 1, 757
The HCF of 674,757 is 1.
Lets's calculate GCF of 674,757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 674,757 By Matching Biggest Common Factor Method
Now, list down the factors of 674
:1,2,337,674
Now, list down the factors of 757
:1,757
Greatest Common Factor
We found the factors 674,757 . The biggest common factor number is the GCF number.
So the greatest common factor 674,757 is 1.
Lets's calculate LCM of 151,678
Given numbers has no common factors except 1. So, there LCM is their product i.e 102378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102378
Therefore, the GCF of Fractions 674/151,757/678 is 1/102378
Least Common Multiple of 151,678 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 151,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(151,678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(151,678) x common factors =1 x 1 = 1
LCM(151,678) = ( 151 × 678 ) / 1
LCM(151,678) = 102378 / 1
LCM(151,678) = 102378
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 674/151, 757/678
1. What is the HCF of 674,757?
The HCF of 674,757 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 674/151, 757/678?
Answer: GCF of Numerators as per given numbers 674/151, 757/678 is
GCF of Numerators i.e. for 674,757 is 1
LCM of denominators i.e. for 151,678 is 102378.
Thus, GCF of Fractions is 1/102378.Finally, GCF of Fractions for 674/151, 757/678 is 1/102378.