GCF of 7642/807, 4470/1249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7642/807, 4470/1249 i.e 2/1007943 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7642/807, 4470/1249.
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 7642/807,4470/1249?
Given fractions are 7642/807,4470/1249
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 7642/807,4470/1249, numerators are 7642,4470
Denominators are 807,1249
The GCF of 7642,4470 is 2 .
LCM of 807,1249 is 1007943.
The greatest common factor of 7642/807,4470/1249 = [GCF of 7642,4470]/[LCM of 807,1249]= 2/1007943
Therefore, the GCF of 7642/807,4470/1249 is 2/1007943.
To find the highest common factor of 7642,4470, we have to find the factors of both numbers and list the highest common factor.
The factors of 7642 are 1, 2, 3821, 7642
The factors of 4470 are 1, 2, 3, 5, 6, 10, 15, 30, 149, 298, 447, 745, 894, 1490, 2235, 4470
The HCF of 7642,4470 is 2.
Lets's calculate GCF of 7642,4470
| 2 | 7642, 4470 |
| 3821, 2235 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7642,4470 By Matching Biggest Common Factor Method
Now, list down the factors of 7642
:1,2,3821,7642
Now, list down the factors of 4470
:1,2,3,5,6,10,15,30,149,298,447,745,894,1490,2235,4470
Greatest Common Factor
We found the factors 7642,4470 . The biggest common factor number is the GCF number.
So the greatest common factor 7642,4470 is 2.
Lets's calculate LCM of 807,1249
Given numbers has no common factors except 1. So, there LCM is their product i.e 1007943
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1007943
Therefore, the GCF of Fractions 7642/807,4470/1249 is 2/1007943
Least Common Multiple of 807,1249 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 807,1249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,1249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,1249) x common factors =1 x 1 = 1
LCM(807,1249) = ( 807 × 1249 ) / 1
LCM(807,1249) = 1007943 / 1
LCM(807,1249) = 1007943
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FAQs on GCF of Fractions of 7642/807, 4470/1249
1. What is the HCF of 7642,4470?
The HCF of 7642,4470 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 7642/807, 4470/1249?
Answer: GCF of Numerators as per given numbers 7642/807, 4470/1249 is
GCF of Numerators i.e. for 7642,4470 is 2
LCM of denominators i.e. for 807,1249 is 1007943.
Thus, GCF of Fractions is 2/1007943.Finally, GCF of Fractions for 7642/807, 4470/1249 is 2/1007943.