GCF of 6302/108, 6440/721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6302/108, 6440/721 i.e 46/77868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6302/108, 6440/721.
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 6302/108,6440/721?
Given fractions are 6302/108,6440/721
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 6302/108,6440/721, numerators are 6302,6440
Denominators are 108,721
The GCF of 6302,6440 is 46 .
LCM of 108,721 is 77868.
The greatest common factor of 6302/108,6440/721 = [GCF of 6302,6440]/[LCM of 108,721]= 46/77868
Therefore, the GCF of 6302/108,6440/721 is 46/77868.
To find the highest common factor of 6302,6440, we have to find the factors of both numbers and list the highest common factor.
The factors of 6302 are 1, 2, 23, 46, 137, 274, 3151, 6302
The factors of 6440 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220, 6440
The HCF of 6302,6440 is 46.
Lets's calculate GCF of 6302,6440
| 2 | 6302, 6440 |
| 23 | 3151, 3220 |
| 137, 140 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 6302,6440 By Matching Biggest Common Factor Method
Now, list down the factors of 6302
:1,2,23,46,137,274,3151,6302
Now, list down the factors of 6440
:1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440
Greatest Common Factor
We found the factors 6302,6440 . The biggest common factor number is the GCF number.
So the greatest common factor 6302,6440 is 46.
Lets's calculate LCM of 108,721
Given numbers has no common factors except 1. So, there LCM is their product i.e 77868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/77868
Therefore, the GCF of Fractions 6302/108,6440/721 is 46/77868
Least Common Multiple of 108,721 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 108,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(108,721) x common factors =1 x 1 = 1
LCM(108,721) = ( 108 × 721 ) / 1
LCM(108,721) = 77868 / 1
LCM(108,721) = 77868
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FAQs on GCF of Fractions of 6302/108, 6440/721
1. What is the HCF of 6302,6440?
The HCF of 6302,6440 is 46
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 6302/108, 6440/721?
Answer: GCF of Numerators as per given numbers 6302/108, 6440/721 is
GCF of Numerators i.e. for 6302,6440 is 46
LCM of denominators i.e. for 108,721 is 77868.
Thus, GCF of Fractions is 46/77868.Finally, GCF of Fractions for 6302/108, 6440/721 is 46/77868.