GCF of 9876/839, 6160/7503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9876/839, 6160/7503 i.e 4/6295017 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9876/839, 6160/7503.
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 9876/839,6160/7503?
Given fractions are 9876/839,6160/7503
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 9876/839,6160/7503, numerators are 9876,6160
Denominators are 839,7503
The GCF of 9876,6160 is 4 .
LCM of 839,7503 is 6295017.
The greatest common factor of 9876/839,6160/7503 = [GCF of 9876,6160]/[LCM of 839,7503]= 4/6295017
Therefore, the GCF of 9876/839,6160/7503 is 4/6295017.
To find the highest common factor of 9876,6160, we have to find the factors of both numbers and list the highest common factor.
The factors of 9876 are 1, 2, 3, 4, 6, 12, 823, 1646, 2469, 3292, 4938, 9876
The factors of 6160 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160
The HCF of 9876,6160 is 4.
Lets's calculate GCF of 9876,6160
| 2 | 9876, 6160 |
| 2 | 4938, 3080 |
| 2469, 1540 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9876,6160 By Matching Biggest Common Factor Method
Now, list down the factors of 9876
:1,2,3,4,6,12,823,1646,2469,3292,4938,9876
Now, list down the factors of 6160
:1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160
Greatest Common Factor
We found the factors 9876,6160 . The biggest common factor number is the GCF number.
So the greatest common factor 9876,6160 is 4.
Lets's calculate LCM of 839,7503
Given numbers has no common factors except 1. So, there LCM is their product i.e 6295017
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6295017
Therefore, the GCF of Fractions 9876/839,6160/7503 is 4/6295017
Least Common Multiple of 839,7503 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 839,7503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,7503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,7503) x common factors =1 x 1 = 1
LCM(839,7503) = ( 839 × 7503 ) / 1
LCM(839,7503) = 6295017 / 1
LCM(839,7503) = 6295017
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9876/839, 6160/7503
1. What is the HCF of 9876,6160?
The HCF of 9876,6160 is 4
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 9876/839, 6160/7503?
Answer: GCF of Numerators as per given numbers 9876/839, 6160/7503 is
GCF of Numerators i.e. for 9876,6160 is 4
LCM of denominators i.e. for 839,7503 is 6295017.
Thus, GCF of Fractions is 4/6295017.Finally, GCF of Fractions for 9876/839, 6160/7503 is 4/6295017.