GCF of 4702/916, 4384/8531
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4702/916, 4384/8531 i.e 2/7814396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4702/916, 4384/8531.
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 4702/916,4384/8531?
Given fractions are 4702/916,4384/8531
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 4702/916,4384/8531, numerators are 4702,4384
Denominators are 916,8531
The GCF of 4702,4384 is 2 .
LCM of 916,8531 is 7814396.
The greatest common factor of 4702/916,4384/8531 = [GCF of 4702,4384]/[LCM of 916,8531]= 2/7814396
Therefore, the GCF of 4702/916,4384/8531 is 2/7814396.
To find the highest common factor of 4702,4384, we have to find the factors of both numbers and list the highest common factor.
The factors of 4702 are 1, 2, 2351, 4702
The factors of 4384 are 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384
The HCF of 4702,4384 is 2.
Lets's calculate GCF of 4702,4384
| 2 | 4702, 4384 |
| 2351, 2192 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4702,4384 By Matching Biggest Common Factor Method
Now, list down the factors of 4702
:1,2,2351,4702
Now, list down the factors of 4384
:1,2,4,8,16,32,137,274,548,1096,2192,4384
Greatest Common Factor
We found the factors 4702,4384 . The biggest common factor number is the GCF number.
So the greatest common factor 4702,4384 is 2.
Lets's calculate LCM of 916,8531
Given numbers has no common factors except 1. So, there LCM is their product i.e 7814396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7814396
Therefore, the GCF of Fractions 4702/916,4384/8531 is 2/7814396
Least Common Multiple of 916,8531 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 916,8531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,8531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(916,8531) x common factors =1 x 1 = 1
LCM(916,8531) = ( 916 × 8531 ) / 1
LCM(916,8531) = 7814396 / 1
LCM(916,8531) = 7814396
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4702/916, 4384/8531
1. What is the HCF of 4702,4384?
The HCF of 4702,4384 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 4702/916, 4384/8531?
Answer: GCF of Numerators as per given numbers 4702/916, 4384/8531 is
GCF of Numerators i.e. for 4702,4384 is 2
LCM of denominators i.e. for 916,8531 is 7814396.
Thus, GCF of Fractions is 2/7814396.Finally, GCF of Fractions for 4702/916, 4384/8531 is 2/7814396.