GCF of 751/614, 170/182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 751/614, 170/182 i.e 1/55874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/614, 170/182.
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 751/614,170/182?
Given fractions are 751/614,170/182
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 751/614,170/182, numerators are 751,170
Denominators are 614,182
The GCF of 751,170 is 1 .
LCM of 614,182 is 55874.
The greatest common factor of 751/614,170/182 = [GCF of 751,170]/[LCM of 614,182]= 1/55874
Therefore, the GCF of 751/614,170/182 is 1/55874.
To find the highest common factor of 751,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 751 are 1, 751
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 751,170 is 1.
Lets's calculate GCF of 751,170
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 751,170 By Matching Biggest Common Factor Method
Now, list down the factors of 751
:1,751
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 751,170 . The biggest common factor number is the GCF number.
So the greatest common factor 751,170 is 1.
Lets's calculate LCM of 614,182
| 2 | 614, 182 |
| 307, 91 |
∴ So the LCM of the given numbers is 2 x 307 x 91 = 55874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55874
Therefore, the GCF of Fractions 751/614,170/182 is 1/55874
Least Common Multiple of 614,182 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 614,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,182) x common factors =2 x 1 = 2
LCM(614,182) = ( 614 × 182 ) / 2
LCM(614,182) = 111748 / 2
LCM(614,182) = 55874
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FAQs on GCF of Fractions of 751/614, 170/182
1. What is the HCF of 751,170?
The HCF of 751,170 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 751/614, 170/182?
Answer: GCF of Numerators as per given numbers 751/614, 170/182 is
GCF of Numerators i.e. for 751,170 is 1
LCM of denominators i.e. for 614,182 is 55874.
Thus, GCF of Fractions is 1/55874.Finally, GCF of Fractions for 751/614, 170/182 is 1/55874.