GCF of 9870/314, 3947/8816
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9870/314, 3947/8816 i.e 1/1384112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9870/314, 3947/8816.
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 9870/314,3947/8816?
Given fractions are 9870/314,3947/8816
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 9870/314,3947/8816, numerators are 9870,3947
Denominators are 314,8816
The GCF of 9870,3947 is 1 .
LCM of 314,8816 is 1384112.
The greatest common factor of 9870/314,3947/8816 = [GCF of 9870,3947]/[LCM of 314,8816]= 1/1384112
Therefore, the GCF of 9870/314,3947/8816 is 1/1384112.
To find the highest common factor of 9870,3947, we have to find the factors of both numbers and list the highest common factor.
The factors of 9870 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 470, 658, 705, 987, 1410, 1645, 1974, 3290, 4935, 9870
The factors of 3947 are 1, 3947
The HCF of 9870,3947 is 1.
Lets's calculate GCF of 9870,3947
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9870,3947 By Matching Biggest Common Factor Method
Now, list down the factors of 9870
:1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870
Now, list down the factors of 3947
:1,3947
Greatest Common Factor
We found the factors 9870,3947 . The biggest common factor number is the GCF number.
So the greatest common factor 9870,3947 is 1.
Lets's calculate LCM of 314,8816
| 2 | 314, 8816 |
| 157, 4408 |
∴ So the LCM of the given numbers is 2 x 157 x 4408 = 1384112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1384112
Therefore, the GCF of Fractions 9870/314,3947/8816 is 1/1384112
Least Common Multiple of 314,8816 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 314,8816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,8816) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,8816) x common factors =2 x 1 = 2
LCM(314,8816) = ( 314 × 8816 ) / 2
LCM(314,8816) = 2768224 / 2
LCM(314,8816) = 1384112
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FAQs on GCF of Fractions of 9870/314, 3947/8816
1. What is the HCF of 9870,3947?
The HCF of 9870,3947 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 9870/314, 3947/8816?
Answer: GCF of Numerators as per given numbers 9870/314, 3947/8816 is
GCF of Numerators i.e. for 9870,3947 is 1
LCM of denominators i.e. for 314,8816 is 1384112.
Thus, GCF of Fractions is 1/1384112.Finally, GCF of Fractions for 9870/314, 3947/8816 is 1/1384112.