GCF of 7581/814, 1708/2280
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7581/814, 1708/2280 i.e 7/927960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7581/814, 1708/2280.
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 7581/814,1708/2280?
Given fractions are 7581/814,1708/2280
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 7581/814,1708/2280, numerators are 7581,1708
Denominators are 814,2280
The GCF of 7581,1708 is 7 .
LCM of 814,2280 is 927960.
The greatest common factor of 7581/814,1708/2280 = [GCF of 7581,1708]/[LCM of 814,2280]= 7/927960
Therefore, the GCF of 7581/814,1708/2280 is 7/927960.
To find the highest common factor of 7581,1708, we have to find the factors of both numbers and list the highest common factor.
The factors of 7581 are 1, 3, 7, 19, 21, 57, 133, 361, 399, 1083, 2527, 7581
The factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708
The HCF of 7581,1708 is 7.
Lets's calculate GCF of 7581,1708
| 7 | 7581, 1708 |
| 1083, 244 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7581,1708 By Matching Biggest Common Factor Method
Now, list down the factors of 7581
:1,3,7,19,21,57,133,361,399,1083,2527,7581
Now, list down the factors of 1708
:1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors 7581,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 7581,1708 is 7.
Lets's calculate LCM of 814,2280
| 2 | 814, 2280 |
| 407, 1140 |
∴ So the LCM of the given numbers is 2 x 407 x 1140 = 927960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/927960
Therefore, the GCF of Fractions 7581/814,1708/2280 is 7/927960
Least Common Multiple of 814,2280 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 814,2280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(814,2280) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(814,2280) x common factors =2 x 1 = 2
LCM(814,2280) = ( 814 × 2280 ) / 2
LCM(814,2280) = 1855920 / 2
LCM(814,2280) = 927960
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FAQs on GCF of Fractions of 7581/814, 1708/2280
1. What is the HCF of 7581,1708?
The HCF of 7581,1708 is 7
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 7581/814, 1708/2280?
Answer: GCF of Numerators as per given numbers 7581/814, 1708/2280 is
GCF of Numerators i.e. for 7581,1708 is 7
LCM of denominators i.e. for 814,2280 is 927960.
Thus, GCF of Fractions is 7/927960.Finally, GCF of Fractions for 7581/814, 1708/2280 is 7/927960.