GCF of 7255/338, 4990/178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7255/338, 4990/178 i.e 5/30082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7255/338, 4990/178.
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 7255/338,4990/178?
Given fractions are 7255/338,4990/178
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 7255/338,4990/178, numerators are 7255,4990
Denominators are 338,178
The GCF of 7255,4990 is 5 .
LCM of 338,178 is 30082.
The greatest common factor of 7255/338,4990/178 = [GCF of 7255,4990]/[LCM of 338,178]= 5/30082
Therefore, the GCF of 7255/338,4990/178 is 5/30082.
To find the highest common factor of 7255,4990, we have to find the factors of both numbers and list the highest common factor.
The factors of 7255 are 1, 5, 1451, 7255
The factors of 4990 are 1, 2, 5, 10, 499, 998, 2495, 4990
The HCF of 7255,4990 is 5.
Lets's calculate GCF of 7255,4990
| 5 | 7255, 4990 |
| 1451, 998 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7255,4990 By Matching Biggest Common Factor Method
Now, list down the factors of 7255
:1,5,1451,7255
Now, list down the factors of 4990
:1,2,5,10,499,998,2495,4990
Greatest Common Factor
We found the factors 7255,4990 . The biggest common factor number is the GCF number.
So the greatest common factor 7255,4990 is 5.
Lets's calculate LCM of 338,178
| 2 | 338, 178 |
| 169, 89 |
∴ So the LCM of the given numbers is 2 x 169 x 89 = 30082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/30082
Therefore, the GCF of Fractions 7255/338,4990/178 is 5/30082
Least Common Multiple of 338,178 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 338,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(338,178) x common factors =2 x 1 = 2
LCM(338,178) = ( 338 × 178 ) / 2
LCM(338,178) = 60164 / 2
LCM(338,178) = 30082
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FAQs on GCF of Fractions of 7255/338, 4990/178
1. What is the HCF of 7255,4990?
The HCF of 7255,4990 is 5
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 7255/338, 4990/178?
Answer: GCF of Numerators as per given numbers 7255/338, 4990/178 is
GCF of Numerators i.e. for 7255,4990 is 5
LCM of denominators i.e. for 338,178 is 30082.
Thus, GCF of Fractions is 5/30082.Finally, GCF of Fractions for 7255/338, 4990/178 is 5/30082.