GCF of 910/697, 4600/172
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 910/697, 4600/172 i.e 10/119884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/697, 4600/172.
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 910/697,4600/172?
Given fractions are 910/697,4600/172
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 910/697,4600/172, numerators are 910,4600
Denominators are 697,172
The GCF of 910,4600 is 10 .
LCM of 697,172 is 119884.
The greatest common factor of 910/697,4600/172 = [GCF of 910,4600]/[LCM of 697,172]= 10/119884
Therefore, the GCF of 910/697,4600/172 is 10/119884.
To find the highest common factor of 910,4600, we have to find the factors of both numbers and list the highest common factor.
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The factors of 4600 are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600
The HCF of 910,4600 is 10.
Lets's calculate GCF of 910,4600
| 2 | 910, 4600 |
| 5 | 455, 2300 |
| 91, 460 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 910,4600 By Matching Biggest Common Factor Method
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Now, list down the factors of 4600
:1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600
Greatest Common Factor
We found the factors 910,4600 . The biggest common factor number is the GCF number.
So the greatest common factor 910,4600 is 10.
Lets's calculate LCM of 697,172
Given numbers has no common factors except 1. So, there LCM is their product i.e 119884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/119884
Therefore, the GCF of Fractions 910/697,4600/172 is 10/119884
Least Common Multiple of 697,172 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 697,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,172) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,172) x common factors =1 x 1 = 1
LCM(697,172) = ( 697 × 172 ) / 1
LCM(697,172) = 119884 / 1
LCM(697,172) = 119884
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FAQs on GCF of Fractions of 910/697, 4600/172
1. What is the HCF of 910,4600?
The HCF of 910,4600 is 10
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 910/697, 4600/172?
Answer: GCF of Numerators as per given numbers 910/697, 4600/172 is
GCF of Numerators i.e. for 910,4600 is 10
LCM of denominators i.e. for 697,172 is 119884.
Thus, GCF of Fractions is 10/119884.Finally, GCF of Fractions for 910/697, 4600/172 is 10/119884.