GCF of 455/955, 980/382
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 455/955, 980/382 i.e 35/1910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 455/955, 980/382.
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 455/955,980/382?
Given fractions are 455/955,980/382
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 455/955,980/382, numerators are 455,980
Denominators are 955,382
The GCF of 455,980 is 35 .
LCM of 955,382 is 1910.
The greatest common factor of 455/955,980/382 = [GCF of 455,980]/[LCM of 955,382]= 35/1910
Therefore, the GCF of 455/955,980/382 is 35/1910.
To find the highest common factor of 455,980, we have to find the factors of both numbers and list the highest common factor.
The factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455
The factors of 980 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
The HCF of 455,980 is 35.
Lets's calculate GCF of 455,980
| 5 | 455, 980 |
| 7 | 91, 196 |
| 13, 28 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 455,980 By Matching Biggest Common Factor Method
Now, list down the factors of 455
:1,5,7,13,35,65,91,455
Now, list down the factors of 980
:1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Greatest Common Factor
We found the factors 455,980 . The biggest common factor number is the GCF number.
So the greatest common factor 455,980 is 35.
Lets's calculate LCM of 955,382
| 191 | 955, 382 |
| 5, 2 |
∴ So the LCM of the given numbers is 191 x 5 x 2 = 1910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/1910
Therefore, the GCF of Fractions 455/955,980/382 is 35/1910
Least Common Multiple of 955,382 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 955,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,382) = 191
common factors(in case of two or more numbers have common factors) = 1
GCF(955,382) x common factors =191 x 1 = 191
LCM(955,382) = ( 955 × 382 ) / 191
LCM(955,382) = 364810 / 191
LCM(955,382) = 1910
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FAQs on GCF of Fractions of 455/955, 980/382
1. What is the HCF of 455,980?
The HCF of 455,980 is 35
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 455/955, 980/382?
Answer: GCF of Numerators as per given numbers 455/955, 980/382 is
GCF of Numerators i.e. for 455,980 is 35
LCM of denominators i.e. for 955,382 is 1910.
Thus, GCF of Fractions is 35/1910.Finally, GCF of Fractions for 455/955, 980/382 is 35/1910.