GCF of 9884/687, 9790/9750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9884/687, 9790/9750 i.e 2/2232750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9884/687, 9790/9750.
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 9884/687,9790/9750?
Given fractions are 9884/687,9790/9750
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 9884/687,9790/9750, numerators are 9884,9790
Denominators are 687,9750
The GCF of 9884,9790 is 2 .
LCM of 687,9750 is 2232750.
The greatest common factor of 9884/687,9790/9750 = [GCF of 9884,9790]/[LCM of 687,9750]= 2/2232750
Therefore, the GCF of 9884/687,9790/9750 is 2/2232750.
To find the highest common factor of 9884,9790, we have to find the factors of both numbers and list the highest common factor.
The factors of 9884 are 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884
The factors of 9790 are 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790
The HCF of 9884,9790 is 2.
Lets's calculate GCF of 9884,9790
| 2 | 9884, 9790 |
| 4942, 4895 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9884,9790 By Matching Biggest Common Factor Method
Now, list down the factors of 9884
:1,2,4,7,14,28,353,706,1412,2471,4942,9884
Now, list down the factors of 9790
:1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790
Greatest Common Factor
We found the factors 9884,9790 . The biggest common factor number is the GCF number.
So the greatest common factor 9884,9790 is 2.
Lets's calculate LCM of 687,9750
| 3 | 687, 9750 |
| 229, 3250 |
∴ So the LCM of the given numbers is 3 x 229 x 3250 = 2232750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2232750
Therefore, the GCF of Fractions 9884/687,9790/9750 is 2/2232750
Least Common Multiple of 687,9750 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 687,9750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,9750) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(687,9750) x common factors =3 x 1 = 3
LCM(687,9750) = ( 687 × 9750 ) / 3
LCM(687,9750) = 6698250 / 3
LCM(687,9750) = 2232750
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FAQs on GCF of Fractions of 9884/687, 9790/9750
1. What is the HCF of 9884,9790?
The HCF of 9884,9790 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 9884/687, 9790/9750?
Answer: GCF of Numerators as per given numbers 9884/687, 9790/9750 is
GCF of Numerators i.e. for 9884,9790 is 2
LCM of denominators i.e. for 687,9750 is 2232750.
Thus, GCF of Fractions is 2/2232750.Finally, GCF of Fractions for 9884/687, 9790/9750 is 2/2232750.