GCF of 391/85, 7130/454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 391/85, 7130/454 i.e 23/38590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/85, 7130/454.
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 391/85,7130/454?
Given fractions are 391/85,7130/454
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 391/85,7130/454, numerators are 391,7130
Denominators are 85,454
The GCF of 391,7130 is 23 .
LCM of 85,454 is 38590.
The greatest common factor of 391/85,7130/454 = [GCF of 391,7130]/[LCM of 85,454]= 23/38590
Therefore, the GCF of 391/85,7130/454 is 23/38590.
To find the highest common factor of 391,7130, we have to find the factors of both numbers and list the highest common factor.
The factors of 391 are 1, 17, 23, 391
The factors of 7130 are 1, 2, 5, 10, 23, 31, 46, 62, 115, 155, 230, 310, 713, 1426, 3565, 7130
The HCF of 391,7130 is 23.
Lets's calculate GCF of 391,7130
| 23 | 391, 7130 |
| 17, 310 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 391,7130 By Matching Biggest Common Factor Method
Now, list down the factors of 391
:1,17,23,391
Now, list down the factors of 7130
:1,2,5,10,23,31,46,62,115,155,230,310,713,1426,3565,7130
Greatest Common Factor
We found the factors 391,7130 . The biggest common factor number is the GCF number.
So the greatest common factor 391,7130 is 23.
Lets's calculate LCM of 85,454
Given numbers has no common factors except 1. So, there LCM is their product i.e 38590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/38590
Therefore, the GCF of Fractions 391/85,7130/454 is 23/38590
Least Common Multiple of 85,454 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 85,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,454) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,454) x common factors =1 x 1 = 1
LCM(85,454) = ( 85 × 454 ) / 1
LCM(85,454) = 38590 / 1
LCM(85,454) = 38590
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 391/85, 7130/454
1. What is the HCF of 391,7130?
The HCF of 391,7130 is 23
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 391/85, 7130/454?
Answer: GCF of Numerators as per given numbers 391/85, 7130/454 is
GCF of Numerators i.e. for 391,7130 is 23
LCM of denominators i.e. for 85,454 is 38590.
Thus, GCF of Fractions is 23/38590.Finally, GCF of Fractions for 391/85, 7130/454 is 23/38590.