GCF of 7010/694, 1984/2089
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7010/694, 1984/2089 i.e 2/1449766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7010/694, 1984/2089.
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 7010/694,1984/2089?
Given fractions are 7010/694,1984/2089
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 7010/694,1984/2089, numerators are 7010,1984
Denominators are 694,2089
The GCF of 7010,1984 is 2 .
LCM of 694,2089 is 1449766.
The greatest common factor of 7010/694,1984/2089 = [GCF of 7010,1984]/[LCM of 694,2089]= 2/1449766
Therefore, the GCF of 7010/694,1984/2089 is 2/1449766.
To find the highest common factor of 7010,1984, we have to find the factors of both numbers and list the highest common factor.
The factors of 7010 are 1, 2, 5, 10, 701, 1402, 3505, 7010
The factors of 1984 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 248, 496, 992, 1984
The HCF of 7010,1984 is 2.
Lets's calculate GCF of 7010,1984
| 2 | 7010, 1984 |
| 3505, 992 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7010,1984 By Matching Biggest Common Factor Method
Now, list down the factors of 7010
:1,2,5,10,701,1402,3505,7010
Now, list down the factors of 1984
:1,2,4,8,16,31,32,62,64,124,248,496,992,1984
Greatest Common Factor
We found the factors 7010,1984 . The biggest common factor number is the GCF number.
So the greatest common factor 7010,1984 is 2.
Lets's calculate LCM of 694,2089
Given numbers has no common factors except 1. So, there LCM is their product i.e 1449766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1449766
Therefore, the GCF of Fractions 7010/694,1984/2089 is 2/1449766
Least Common Multiple of 694,2089 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 694,2089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,2089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(694,2089) x common factors =1 x 1 = 1
LCM(694,2089) = ( 694 × 2089 ) / 1
LCM(694,2089) = 1449766 / 1
LCM(694,2089) = 1449766
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7010/694, 1984/2089
1. What is the HCF of 7010,1984?
The HCF of 7010,1984 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 7010/694, 1984/2089?
Answer: GCF of Numerators as per given numbers 7010/694, 1984/2089 is
GCF of Numerators i.e. for 7010,1984 is 2
LCM of denominators i.e. for 694,2089 is 1449766.
Thus, GCF of Fractions is 2/1449766.Finally, GCF of Fractions for 7010/694, 1984/2089 is 2/1449766.