GCF of 7024/921, 2280/1808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7024/921, 2280/1808 i.e 8/1665168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7024/921, 2280/1808.
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 7024/921,2280/1808?
Given fractions are 7024/921,2280/1808
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 7024/921,2280/1808, numerators are 7024,2280
Denominators are 921,1808
The GCF of 7024,2280 is 8 .
LCM of 921,1808 is 1665168.
The greatest common factor of 7024/921,2280/1808 = [GCF of 7024,2280]/[LCM of 921,1808]= 8/1665168
Therefore, the GCF of 7024/921,2280/1808 is 8/1665168.
To find the highest common factor of 7024,2280, we have to find the factors of both numbers and list the highest common factor.
The factors of 7024 are 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024
The factors of 2280 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 57, 60, 76, 95, 114, 120, 152, 190, 228, 285, 380, 456, 570, 760, 1140, 2280
The HCF of 7024,2280 is 8.
Lets's calculate GCF of 7024,2280
| 2 | 7024, 2280 |
| 2 | 3512, 1140 |
| 2 | 1756, 570 |
| 878, 285 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 7024,2280 By Matching Biggest Common Factor Method
Now, list down the factors of 7024
:1,2,4,8,16,439,878,1756,3512,7024
Now, list down the factors of 2280
:1,2,3,4,5,6,8,10,12,15,19,20,24,30,38,40,57,60,76,95,114,120,152,190,228,285,380,456,570,760,1140,2280
Greatest Common Factor
We found the factors 7024,2280 . The biggest common factor number is the GCF number.
So the greatest common factor 7024,2280 is 8.
Lets's calculate LCM of 921,1808
Given numbers has no common factors except 1. So, there LCM is their product i.e 1665168
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1665168
Therefore, the GCF of Fractions 7024/921,2280/1808 is 8/1665168
Least Common Multiple of 921,1808 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 921,1808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,1808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,1808) x common factors =1 x 1 = 1
LCM(921,1808) = ( 921 × 1808 ) / 1
LCM(921,1808) = 1665168 / 1
LCM(921,1808) = 1665168
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FAQs on GCF of Fractions of 7024/921, 2280/1808
1. What is the HCF of 7024,2280?
The HCF of 7024,2280 is 8
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 7024/921, 2280/1808?
Answer: GCF of Numerators as per given numbers 7024/921, 2280/1808 is
GCF of Numerators i.e. for 7024,2280 is 8
LCM of denominators i.e. for 921,1808 is 1665168.
Thus, GCF of Fractions is 8/1665168.Finally, GCF of Fractions for 7024/921, 2280/1808 is 8/1665168.