GCF of 7072/421, 8230/4862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7072/421, 8230/4862 i.e 2/2046902 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7072/421, 8230/4862.
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 7072/421,8230/4862?
Given fractions are 7072/421,8230/4862
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 7072/421,8230/4862, numerators are 7072,8230
Denominators are 421,4862
The GCF of 7072,8230 is 2 .
LCM of 421,4862 is 2046902.
The greatest common factor of 7072/421,8230/4862 = [GCF of 7072,8230]/[LCM of 421,4862]= 2/2046902
Therefore, the GCF of 7072/421,8230/4862 is 2/2046902.
To find the highest common factor of 7072,8230, we have to find the factors of both numbers and list the highest common factor.
The factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072
The factors of 8230 are 1, 2, 5, 10, 823, 1646, 4115, 8230
The HCF of 7072,8230 is 2.
Lets's calculate GCF of 7072,8230
| 2 | 7072, 8230 |
| 3536, 4115 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7072,8230 By Matching Biggest Common Factor Method
Now, list down the factors of 7072
:1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Now, list down the factors of 8230
:1,2,5,10,823,1646,4115,8230
Greatest Common Factor
We found the factors 7072,8230 . The biggest common factor number is the GCF number.
So the greatest common factor 7072,8230 is 2.
Lets's calculate LCM of 421,4862
Given numbers has no common factors except 1. So, there LCM is their product i.e 2046902
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2046902
Therefore, the GCF of Fractions 7072/421,8230/4862 is 2/2046902
Least Common Multiple of 421,4862 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 421,4862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(421,4862) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(421,4862) x common factors =1 x 1 = 1
LCM(421,4862) = ( 421 × 4862 ) / 1
LCM(421,4862) = 2046902 / 1
LCM(421,4862) = 2046902
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FAQs on GCF of Fractions of 7072/421, 8230/4862
1. What is the HCF of 7072,8230?
The HCF of 7072,8230 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 7072/421, 8230/4862?
Answer: GCF of Numerators as per given numbers 7072/421, 8230/4862 is
GCF of Numerators i.e. for 7072,8230 is 2
LCM of denominators i.e. for 421,4862 is 2046902.
Thus, GCF of Fractions is 2/2046902.Finally, GCF of Fractions for 7072/421, 8230/4862 is 2/2046902.