GCF of 8855/277, 9170/1148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8855/277, 9170/1148 i.e 35/317996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8855/277, 9170/1148.
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 8855/277,9170/1148?
Given fractions are 8855/277,9170/1148
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 8855/277,9170/1148, numerators are 8855,9170
Denominators are 277,1148
The GCF of 8855,9170 is 35 .
LCM of 277,1148 is 317996.
The greatest common factor of 8855/277,9170/1148 = [GCF of 8855,9170]/[LCM of 277,1148]= 35/317996
Therefore, the GCF of 8855/277,9170/1148 is 35/317996.
To find the highest common factor of 8855,9170, we have to find the factors of both numbers and list the highest common factor.
The factors of 8855 are 1, 5, 7, 11, 23, 35, 55, 77, 115, 161, 253, 385, 805, 1265, 1771, 8855
The factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
The HCF of 8855,9170 is 35.
Lets's calculate GCF of 8855,9170
| 5 | 8855, 9170 |
| 7 | 1771, 1834 |
| 253, 262 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 8855,9170 By Matching Biggest Common Factor Method
Now, list down the factors of 8855
:1,5,7,11,23,35,55,77,115,161,253,385,805,1265,1771,8855
Now, list down the factors of 9170
:1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170
Greatest Common Factor
We found the factors 8855,9170 . The biggest common factor number is the GCF number.
So the greatest common factor 8855,9170 is 35.
Lets's calculate LCM of 277,1148
Given numbers has no common factors except 1. So, there LCM is their product i.e 317996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/317996
Therefore, the GCF of Fractions 8855/277,9170/1148 is 35/317996
Least Common Multiple of 277,1148 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 277,1148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,1148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,1148) x common factors =1 x 1 = 1
LCM(277,1148) = ( 277 × 1148 ) / 1
LCM(277,1148) = 317996 / 1
LCM(277,1148) = 317996
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FAQs on GCF of Fractions of 8855/277, 9170/1148
1. What is the HCF of 8855,9170?
The HCF of 8855,9170 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 8855/277, 9170/1148?
Answer: GCF of Numerators as per given numbers 8855/277, 9170/1148 is
GCF of Numerators i.e. for 8855,9170 is 35
LCM of denominators i.e. for 277,1148 is 317996.
Thus, GCF of Fractions is 35/317996.Finally, GCF of Fractions for 8855/277, 9170/1148 is 35/317996.