GCF of 4478/707, 5502/4300
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4478/707, 5502/4300 i.e 2/3040100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4478/707, 5502/4300.
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 4478/707,5502/4300?
Given fractions are 4478/707,5502/4300
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 4478/707,5502/4300, numerators are 4478,5502
Denominators are 707,4300
The GCF of 4478,5502 is 2 .
LCM of 707,4300 is 3040100.
The greatest common factor of 4478/707,5502/4300 = [GCF of 4478,5502]/[LCM of 707,4300]= 2/3040100
Therefore, the GCF of 4478/707,5502/4300 is 2/3040100.
To find the highest common factor of 4478,5502, we have to find the factors of both numbers and list the highest common factor.
The factors of 4478 are 1, 2, 2239, 4478
The factors of 5502 are 1, 2, 3, 6, 7, 14, 21, 42, 131, 262, 393, 786, 917, 1834, 2751, 5502
The HCF of 4478,5502 is 2.
Lets's calculate GCF of 4478,5502
| 2 | 4478, 5502 |
| 2239, 2751 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4478,5502 By Matching Biggest Common Factor Method
Now, list down the factors of 4478
:1,2,2239,4478
Now, list down the factors of 5502
:1,2,3,6,7,14,21,42,131,262,393,786,917,1834,2751,5502
Greatest Common Factor
We found the factors 4478,5502 . The biggest common factor number is the GCF number.
So the greatest common factor 4478,5502 is 2.
Lets's calculate LCM of 707,4300
Given numbers has no common factors except 1. So, there LCM is their product i.e 3040100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3040100
Therefore, the GCF of Fractions 4478/707,5502/4300 is 2/3040100
Least Common Multiple of 707,4300 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 707,4300 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,4300) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,4300) x common factors =1 x 1 = 1
LCM(707,4300) = ( 707 × 4300 ) / 1
LCM(707,4300) = 3040100 / 1
LCM(707,4300) = 3040100
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4478/707, 5502/4300
1. What is the HCF of 4478,5502?
The HCF of 4478,5502 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 4478/707, 5502/4300?
Answer: GCF of Numerators as per given numbers 4478/707, 5502/4300 is
GCF of Numerators i.e. for 4478,5502 is 2
LCM of denominators i.e. for 707,4300 is 3040100.
Thus, GCF of Fractions is 2/3040100.Finally, GCF of Fractions for 4478/707, 5502/4300 is 2/3040100.