GCF of 9929/698, 9210/632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9929/698, 9210/632 i.e 1/220568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9929/698, 9210/632.
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 9929/698,9210/632?
Given fractions are 9929/698,9210/632
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 9929/698,9210/632, numerators are 9929,9210
Denominators are 698,632
The GCF of 9929,9210 is 1 .
LCM of 698,632 is 220568.
The greatest common factor of 9929/698,9210/632 = [GCF of 9929,9210]/[LCM of 698,632]= 1/220568
Therefore, the GCF of 9929/698,9210/632 is 1/220568.
To find the highest common factor of 9929,9210, we have to find the factors of both numbers and list the highest common factor.
The factors of 9929 are 1, 9929
The factors of 9210 are 1, 2, 3, 5, 6, 10, 15, 30, 307, 614, 921, 1535, 1842, 3070, 4605, 9210
The HCF of 9929,9210 is 1.
Lets's calculate GCF of 9929,9210
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9929,9210 By Matching Biggest Common Factor Method
Now, list down the factors of 9929
:1,9929
Now, list down the factors of 9210
:1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210
Greatest Common Factor
We found the factors 9929,9210 . The biggest common factor number is the GCF number.
So the greatest common factor 9929,9210 is 1.
Lets's calculate LCM of 698,632
| 2 | 698, 632 |
| 349, 316 |
∴ So the LCM of the given numbers is 2 x 349 x 316 = 220568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220568
Therefore, the GCF of Fractions 9929/698,9210/632 is 1/220568
Least Common Multiple of 698,632 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 698,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(698,632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(698,632) x common factors =2 x 1 = 2
LCM(698,632) = ( 698 × 632 ) / 2
LCM(698,632) = 441136 / 2
LCM(698,632) = 220568
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FAQs on GCF of Fractions of 9929/698, 9210/632
1. What is the HCF of 9929,9210?
The HCF of 9929,9210 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 9929/698, 9210/632?
Answer: GCF of Numerators as per given numbers 9929/698, 9210/632 is
GCF of Numerators i.e. for 9929,9210 is 1
LCM of denominators i.e. for 698,632 is 220568.
Thus, GCF of Fractions is 1/220568.Finally, GCF of Fractions for 9929/698, 9210/632 is 1/220568.