GCF of 7493/176, 5782/7085
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7493/176, 5782/7085 i.e 59/1246960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7493/176, 5782/7085.
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 7493/176,5782/7085?
Given fractions are 7493/176,5782/7085
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 7493/176,5782/7085, numerators are 7493,5782
Denominators are 176,7085
The GCF of 7493,5782 is 59 .
LCM of 176,7085 is 1246960.
The greatest common factor of 7493/176,5782/7085 = [GCF of 7493,5782]/[LCM of 176,7085]= 59/1246960
Therefore, the GCF of 7493/176,5782/7085 is 59/1246960.
To find the highest common factor of 7493,5782, we have to find the factors of both numbers and list the highest common factor.
The factors of 7493 are 1, 59, 127, 7493
The factors of 5782 are 1, 2, 7, 14, 49, 59, 98, 118, 413, 826, 2891, 5782
The HCF of 7493,5782 is 59.
Lets's calculate GCF of 7493,5782
| 59 | 7493, 5782 |
| 127, 98 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 7493,5782 By Matching Biggest Common Factor Method
Now, list down the factors of 7493
:1,59,127,7493
Now, list down the factors of 5782
:1,2,7,14,49,59,98,118,413,826,2891,5782
Greatest Common Factor
We found the factors 7493,5782 . The biggest common factor number is the GCF number.
So the greatest common factor 7493,5782 is 59.
Lets's calculate LCM of 176,7085
Given numbers has no common factors except 1. So, there LCM is their product i.e 1246960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/1246960
Therefore, the GCF of Fractions 7493/176,5782/7085 is 59/1246960
Least Common Multiple of 176,7085 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 176,7085 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,7085) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(176,7085) x common factors =1 x 1 = 1
LCM(176,7085) = ( 176 × 7085 ) / 1
LCM(176,7085) = 1246960 / 1
LCM(176,7085) = 1246960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7493/176, 5782/7085
1. What is the HCF of 7493,5782?
The HCF of 7493,5782 is 59
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 7493/176, 5782/7085?
Answer: GCF of Numerators as per given numbers 7493/176, 5782/7085 is
GCF of Numerators i.e. for 7493,5782 is 59
LCM of denominators i.e. for 176,7085 is 1246960.
Thus, GCF of Fractions is 59/1246960.Finally, GCF of Fractions for 7493/176, 5782/7085 is 59/1246960.