GCF of 9103/605, 9720/7414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9103/605, 9720/7414 i.e 1/407770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9103/605, 9720/7414.
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 9103/605,9720/7414?
Given fractions are 9103/605,9720/7414
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 9103/605,9720/7414, numerators are 9103,9720
Denominators are 605,7414
The GCF of 9103,9720 is 1 .
LCM of 605,7414 is 407770.
The greatest common factor of 9103/605,9720/7414 = [GCF of 9103,9720]/[LCM of 605,7414]= 1/407770
Therefore, the GCF of 9103/605,9720/7414 is 1/407770.
To find the highest common factor of 9103,9720, we have to find the factors of both numbers and list the highest common factor.
The factors of 9103 are 1, 9103
The factors of 9720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720
The HCF of 9103,9720 is 1.
Lets's calculate GCF of 9103,9720
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9103,9720 By Matching Biggest Common Factor Method
Now, list down the factors of 9103
:1,9103
Now, list down the factors of 9720
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720
Greatest Common Factor
We found the factors 9103,9720 . The biggest common factor number is the GCF number.
So the greatest common factor 9103,9720 is 1.
Lets's calculate LCM of 605,7414
| 11 | 605, 7414 |
| 55, 674 |
∴ So the LCM of the given numbers is 11 x 55 x 674 = 407770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407770
Therefore, the GCF of Fractions 9103/605,9720/7414 is 1/407770
Least Common Multiple of 605,7414 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 605,7414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,7414) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(605,7414) x common factors =11 x 1 = 11
LCM(605,7414) = ( 605 × 7414 ) / 11
LCM(605,7414) = 4485470 / 11
LCM(605,7414) = 407770
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FAQs on GCF of Fractions of 9103/605, 9720/7414
1. What is the HCF of 9103,9720?
The HCF of 9103,9720 is 1
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 9103/605, 9720/7414?
Answer: GCF of Numerators as per given numbers 9103/605, 9720/7414 is
GCF of Numerators i.e. for 9103,9720 is 1
LCM of denominators i.e. for 605,7414 is 407770.
Thus, GCF of Fractions is 1/407770.Finally, GCF of Fractions for 9103/605, 9720/7414 is 1/407770.