GCF of 7236/802, 9738/586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7236/802, 9738/586 i.e 18/234986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7236/802, 9738/586.
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 7236/802,9738/586?
Given fractions are 7236/802,9738/586
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 7236/802,9738/586, numerators are 7236,9738
Denominators are 802,586
The GCF of 7236,9738 is 18 .
LCM of 802,586 is 234986.
The greatest common factor of 7236/802,9738/586 = [GCF of 7236,9738]/[LCM of 802,586]= 18/234986
Therefore, the GCF of 7236/802,9738/586 is 18/234986.
To find the highest common factor of 7236,9738, we have to find the factors of both numbers and list the highest common factor.
The factors of 7236 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 67, 108, 134, 201, 268, 402, 603, 804, 1206, 1809, 2412, 3618, 7236
The factors of 9738 are 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738
The HCF of 7236,9738 is 18.
Lets's calculate GCF of 7236,9738
| 2 | 7236, 9738 |
| 3 | 3618, 4869 |
| 3 | 1206, 1623 |
| 402, 541 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 7236,9738 By Matching Biggest Common Factor Method
Now, list down the factors of 7236
:1,2,3,4,6,9,12,18,27,36,54,67,108,134,201,268,402,603,804,1206,1809,2412,3618,7236
Now, list down the factors of 9738
:1,2,3,6,9,18,541,1082,1623,3246,4869,9738
Greatest Common Factor
We found the factors 7236,9738 . The biggest common factor number is the GCF number.
So the greatest common factor 7236,9738 is 18.
Lets's calculate LCM of 802,586
| 2 | 802, 586 |
| 401, 293 |
∴ So the LCM of the given numbers is 2 x 401 x 293 = 234986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/234986
Therefore, the GCF of Fractions 7236/802,9738/586 is 18/234986
Least Common Multiple of 802,586 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 802,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,586) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,586) x common factors =2 x 1 = 2
LCM(802,586) = ( 802 × 586 ) / 2
LCM(802,586) = 469972 / 2
LCM(802,586) = 234986
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7236/802, 9738/586
1. What is the HCF of 7236,9738?
The HCF of 7236,9738 is 18
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 7236/802, 9738/586?
Answer: GCF of Numerators as per given numbers 7236/802, 9738/586 is
GCF of Numerators i.e. for 7236,9738 is 18
LCM of denominators i.e. for 802,586 is 234986.
Thus, GCF of Fractions is 18/234986.Finally, GCF of Fractions for 7236/802, 9738/586 is 18/234986.