GCF of 9876/752, 8470/9578
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9876/752, 8470/9578 i.e 2/3601328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9876/752, 8470/9578.
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 9876/752,8470/9578?
Given fractions are 9876/752,8470/9578
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 9876/752,8470/9578, numerators are 9876,8470
Denominators are 752,9578
The GCF of 9876,8470 is 2 .
LCM of 752,9578 is 3601328.
The greatest common factor of 9876/752,8470/9578 = [GCF of 9876,8470]/[LCM of 752,9578]= 2/3601328
Therefore, the GCF of 9876/752,8470/9578 is 2/3601328.
To find the highest common factor of 9876,8470, 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 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470
The HCF of 9876,8470 is 2.
Lets's calculate GCF of 9876,8470
| 2 | 9876, 8470 |
| 4938, 4235 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9876,8470 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 8470
:1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470
Greatest Common Factor
We found the factors 9876,8470 . The biggest common factor number is the GCF number.
So the greatest common factor 9876,8470 is 2.
Lets's calculate LCM of 752,9578
| 2 | 752, 9578 |
| 376, 4789 |
∴ So the LCM of the given numbers is 2 x 376 x 4789 = 3601328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3601328
Therefore, the GCF of Fractions 9876/752,8470/9578 is 2/3601328
Least Common Multiple of 752,9578 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 752,9578 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,9578) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(752,9578) x common factors =2 x 1 = 2
LCM(752,9578) = ( 752 × 9578 ) / 2
LCM(752,9578) = 7202656 / 2
LCM(752,9578) = 3601328
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FAQs on GCF of Fractions of 9876/752, 8470/9578
1. What is the HCF of 9876,8470?
The HCF of 9876,8470 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 9876/752, 8470/9578?
Answer: GCF of Numerators as per given numbers 9876/752, 8470/9578 is
GCF of Numerators i.e. for 9876,8470 is 2
LCM of denominators i.e. for 752,9578 is 3601328.
Thus, GCF of Fractions is 2/3601328.Finally, GCF of Fractions for 9876/752, 8470/9578 is 2/3601328.