GCF of 7870/867, 2010/7733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7870/867, 2010/7733 i.e 10/6704511 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7870/867, 2010/7733.
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 7870/867,2010/7733?
Given fractions are 7870/867,2010/7733
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 7870/867,2010/7733, numerators are 7870,2010
Denominators are 867,7733
The GCF of 7870,2010 is 10 .
LCM of 867,7733 is 6704511.
The greatest common factor of 7870/867,2010/7733 = [GCF of 7870,2010]/[LCM of 867,7733]= 10/6704511
Therefore, the GCF of 7870/867,2010/7733 is 10/6704511.
To find the highest common factor of 7870,2010, we have to find the factors of both numbers and list the highest common factor.
The factors of 7870 are 1, 2, 5, 10, 787, 1574, 3935, 7870
The factors of 2010 are 1, 2, 3, 5, 6, 10, 15, 30, 67, 134, 201, 335, 402, 670, 1005, 2010
The HCF of 7870,2010 is 10.
Lets's calculate GCF of 7870,2010
| 2 | 7870, 2010 |
| 5 | 3935, 1005 |
| 787, 201 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7870,2010 By Matching Biggest Common Factor Method
Now, list down the factors of 7870
:1,2,5,10,787,1574,3935,7870
Now, list down the factors of 2010
:1,2,3,5,6,10,15,30,67,134,201,335,402,670,1005,2010
Greatest Common Factor
We found the factors 7870,2010 . The biggest common factor number is the GCF number.
So the greatest common factor 7870,2010 is 10.
Lets's calculate LCM of 867,7733
Given numbers has no common factors except 1. So, there LCM is their product i.e 6704511
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6704511
Therefore, the GCF of Fractions 7870/867,2010/7733 is 10/6704511
Least Common Multiple of 867,7733 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 867,7733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,7733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,7733) x common factors =1 x 1 = 1
LCM(867,7733) = ( 867 × 7733 ) / 1
LCM(867,7733) = 6704511 / 1
LCM(867,7733) = 6704511
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FAQs on GCF of Fractions of 7870/867, 2010/7733
1. What is the HCF of 7870,2010?
The HCF of 7870,2010 is 10
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 7870/867, 2010/7733?
Answer: GCF of Numerators as per given numbers 7870/867, 2010/7733 is
GCF of Numerators i.e. for 7870,2010 is 10
LCM of denominators i.e. for 867,7733 is 6704511.
Thus, GCF of Fractions is 10/6704511.Finally, GCF of Fractions for 7870/867, 2010/7733 is 10/6704511.