GCF of 9108/698, 1702/7324
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9108/698, 1702/7324 i.e 46/2556076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9108/698, 1702/7324.
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 9108/698,1702/7324?
Given fractions are 9108/698,1702/7324
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 9108/698,1702/7324, numerators are 9108,1702
Denominators are 698,7324
The GCF of 9108,1702 is 46 .
LCM of 698,7324 is 2556076.
The greatest common factor of 9108/698,1702/7324 = [GCF of 9108,1702]/[LCM of 698,7324]= 46/2556076
Therefore, the GCF of 9108/698,1702/7324 is 46/2556076.
To find the highest common factor of 9108,1702, we have to find the factors of both numbers and list the highest common factor.
The factors of 9108 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 23, 33, 36, 44, 46, 66, 69, 92, 99, 132, 138, 198, 207, 253, 276, 396, 414, 506, 759, 828, 1012, 1518, 2277, 3036, 4554, 9108
The factors of 1702 are 1, 2, 23, 37, 46, 74, 851, 1702
The HCF of 9108,1702 is 46.
Lets's calculate GCF of 9108,1702
| 2 | 9108, 1702 |
| 23 | 4554, 851 |
| 198, 37 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 9108,1702 By Matching Biggest Common Factor Method
Now, list down the factors of 9108
:1,2,3,4,6,9,11,12,18,22,23,33,36,44,46,66,69,92,99,132,138,198,207,253,276,396,414,506,759,828,1012,1518,2277,3036,4554,9108
Now, list down the factors of 1702
:1,2,23,37,46,74,851,1702
Greatest Common Factor
We found the factors 9108,1702 . The biggest common factor number is the GCF number.
So the greatest common factor 9108,1702 is 46.
Lets's calculate LCM of 698,7324
| 2 | 698, 7324 |
| 349, 3662 |
∴ So the LCM of the given numbers is 2 x 349 x 3662 = 2556076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/2556076
Therefore, the GCF of Fractions 9108/698,1702/7324 is 46/2556076
Least Common Multiple of 698,7324 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 698,7324 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,7324) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,7324) x common factors =2 x 1 = 2
LCM(698,7324) = ( 698 × 7324 ) / 2
LCM(698,7324) = 5112152 / 2
LCM(698,7324) = 2556076
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9108/698, 1702/7324
1. What is the HCF of 9108,1702?
The HCF of 9108,1702 is 46
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 9108/698, 1702/7324?
Answer: GCF of Numerators as per given numbers 9108/698, 1702/7324 is
GCF of Numerators i.e. for 9108,1702 is 46
LCM of denominators i.e. for 698,7324 is 2556076.
Thus, GCF of Fractions is 46/2556076.Finally, GCF of Fractions for 9108/698, 1702/7324 is 46/2556076.