GCF of 4980/707, 2202/4586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4980/707, 2202/4586 i.e 6/3242302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4980/707, 2202/4586.
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 4980/707,2202/4586?
Given fractions are 4980/707,2202/4586
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 4980/707,2202/4586, numerators are 4980,2202
Denominators are 707,4586
The GCF of 4980,2202 is 6 .
LCM of 707,4586 is 3242302.
The greatest common factor of 4980/707,2202/4586 = [GCF of 4980,2202]/[LCM of 707,4586]= 6/3242302
Therefore, the GCF of 4980/707,2202/4586 is 6/3242302.
To find the highest common factor of 4980,2202, we have to find the factors of both numbers and list the highest common factor.
The factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980
The factors of 2202 are 1, 2, 3, 6, 367, 734, 1101, 2202
The HCF of 4980,2202 is 6.
Lets's calculate GCF of 4980,2202
| 2 | 4980, 2202 |
| 3 | 2490, 1101 |
| 830, 367 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4980,2202 By Matching Biggest Common Factor Method
Now, list down the factors of 4980
:1,2,3,4,5,6,10,12,15,20,30,60,83,166,249,332,415,498,830,996,1245,1660,2490,4980
Now, list down the factors of 2202
:1,2,3,6,367,734,1101,2202
Greatest Common Factor
We found the factors 4980,2202 . The biggest common factor number is the GCF number.
So the greatest common factor 4980,2202 is 6.
Lets's calculate LCM of 707,4586
Given numbers has no common factors except 1. So, there LCM is their product i.e 3242302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3242302
Therefore, the GCF of Fractions 4980/707,2202/4586 is 6/3242302
Least Common Multiple of 707,4586 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 707,4586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,4586) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,4586) x common factors =1 x 1 = 1
LCM(707,4586) = ( 707 × 4586 ) / 1
LCM(707,4586) = 3242302 / 1
LCM(707,4586) = 3242302
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4980/707, 2202/4586
1. What is the HCF of 4980,2202?
The HCF of 4980,2202 is 6
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 4980/707, 2202/4586?
Answer: GCF of Numerators as per given numbers 4980/707, 2202/4586 is
GCF of Numerators i.e. for 4980,2202 is 6
LCM of denominators i.e. for 707,4586 is 3242302.
Thus, GCF of Fractions is 6/3242302.Finally, GCF of Fractions for 4980/707, 2202/4586 is 6/3242302.