GCF of 4710/463, 6380/7223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4710/463, 6380/7223 i.e 10/3344249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4710/463, 6380/7223.
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 4710/463,6380/7223?
Given fractions are 4710/463,6380/7223
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 4710/463,6380/7223, numerators are 4710,6380
Denominators are 463,7223
The GCF of 4710,6380 is 10 .
LCM of 463,7223 is 3344249.
The greatest common factor of 4710/463,6380/7223 = [GCF of 4710,6380]/[LCM of 463,7223]= 10/3344249
Therefore, the GCF of 4710/463,6380/7223 is 10/3344249.
To find the highest common factor of 4710,6380, we have to find the factors of both numbers and list the highest common factor.
The factors of 4710 are 1, 2, 3, 5, 6, 10, 15, 30, 157, 314, 471, 785, 942, 1570, 2355, 4710
The factors of 6380 are 1, 2, 4, 5, 10, 11, 20, 22, 29, 44, 55, 58, 110, 116, 145, 220, 290, 319, 580, 638, 1276, 1595, 3190, 6380
The HCF of 4710,6380 is 10.
Lets's calculate GCF of 4710,6380
| 2 | 4710, 6380 |
| 5 | 2355, 3190 |
| 471, 638 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4710,6380 By Matching Biggest Common Factor Method
Now, list down the factors of 4710
:1,2,3,5,6,10,15,30,157,314,471,785,942,1570,2355,4710
Now, list down the factors of 6380
:1,2,4,5,10,11,20,22,29,44,55,58,110,116,145,220,290,319,580,638,1276,1595,3190,6380
Greatest Common Factor
We found the factors 4710,6380 . The biggest common factor number is the GCF number.
So the greatest common factor 4710,6380 is 10.
Lets's calculate LCM of 463,7223
Given numbers has no common factors except 1. So, there LCM is their product i.e 3344249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3344249
Therefore, the GCF of Fractions 4710/463,6380/7223 is 10/3344249
Least Common Multiple of 463,7223 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 463,7223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,7223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,7223) x common factors =1 x 1 = 1
LCM(463,7223) = ( 463 × 7223 ) / 1
LCM(463,7223) = 3344249 / 1
LCM(463,7223) = 3344249
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FAQs on GCF of Fractions of 4710/463, 6380/7223
1. What is the HCF of 4710,6380?
The HCF of 4710,6380 is 10
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 4710/463, 6380/7223?
Answer: GCF of Numerators as per given numbers 4710/463, 6380/7223 is
GCF of Numerators i.e. for 4710,6380 is 10
LCM of denominators i.e. for 463,7223 is 3344249.
Thus, GCF of Fractions is 10/3344249.Finally, GCF of Fractions for 4710/463, 6380/7223 is 10/3344249.