GCF of 6508/623, 9170/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6508/623, 9170/455 i.e 2/40495 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6508/623, 9170/455.
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 6508/623,9170/455?
Given fractions are 6508/623,9170/455
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 6508/623,9170/455, numerators are 6508,9170
Denominators are 623,455
The GCF of 6508,9170 is 2 .
LCM of 623,455 is 40495.
The greatest common factor of 6508/623,9170/455 = [GCF of 6508,9170]/[LCM of 623,455]= 2/40495
Therefore, the GCF of 6508/623,9170/455 is 2/40495.
To find the highest common factor of 6508,9170, we have to find the factors of both numbers and list the highest common factor.
The factors of 6508 are 1, 2, 4, 1627, 3254, 6508
The factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170
The HCF of 6508,9170 is 2.
Lets's calculate GCF of 6508,9170
| 2 | 6508, 9170 |
| 3254, 4585 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6508,9170 By Matching Biggest Common Factor Method
Now, list down the factors of 6508
:1,2,4,1627,3254,6508
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 6508,9170 . The biggest common factor number is the GCF number.
So the greatest common factor 6508,9170 is 2.
Lets's calculate LCM of 623,455
| 7 | 623, 455 |
| 89, 65 |
∴ So the LCM of the given numbers is 7 x 89 x 65 = 40495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40495
Therefore, the GCF of Fractions 6508/623,9170/455 is 2/40495
Least Common Multiple of 623,455 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 623,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,455) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(623,455) x common factors =7 x 1 = 7
LCM(623,455) = ( 623 × 455 ) / 7
LCM(623,455) = 283465 / 7
LCM(623,455) = 40495
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FAQs on GCF of Fractions of 6508/623, 9170/455
1. What is the HCF of 6508,9170?
The HCF of 6508,9170 is 2
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 6508/623, 9170/455?
Answer: GCF of Numerators as per given numbers 6508/623, 9170/455 is
GCF of Numerators i.e. for 6508,9170 is 2
LCM of denominators i.e. for 623,455 is 40495.
Thus, GCF of Fractions is 2/40495.Finally, GCF of Fractions for 6508/623, 9170/455 is 2/40495.