GCF of 9793/708, 8724/4208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9793/708, 8724/4208 i.e 1/744816 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9793/708, 8724/4208.
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 9793/708,8724/4208?
Given fractions are 9793/708,8724/4208
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 9793/708,8724/4208, numerators are 9793,8724
Denominators are 708,4208
The GCF of 9793,8724 is 1 .
LCM of 708,4208 is 744816.
The greatest common factor of 9793/708,8724/4208 = [GCF of 9793,8724]/[LCM of 708,4208]= 1/744816
Therefore, the GCF of 9793/708,8724/4208 is 1/744816.
To find the highest common factor of 9793,8724, we have to find the factors of both numbers and list the highest common factor.
The factors of 9793 are 1, 7, 1399, 9793
The factors of 8724 are 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724
The HCF of 9793,8724 is 1.
Lets's calculate GCF of 9793,8724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9793,8724 By Matching Biggest Common Factor Method
Now, list down the factors of 9793
:1,7,1399,9793
Now, list down the factors of 8724
:1,2,3,4,6,12,727,1454,2181,2908,4362,8724
Greatest Common Factor
We found the factors 9793,8724 . The biggest common factor number is the GCF number.
So the greatest common factor 9793,8724 is 1.
Lets's calculate LCM of 708,4208
| 2 | 708, 4208 |
| 2 | 354, 2104 |
| 177, 1052 |
∴ So the LCM of the given numbers is 2 x 2 x 177 x 1052 = 744816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/744816
Therefore, the GCF of Fractions 9793/708,8724/4208 is 1/744816
Least Common Multiple of 708,4208 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 708,4208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,4208) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(708,4208) x common factors =4 x 1 = 4
LCM(708,4208) = ( 708 × 4208 ) / 4
LCM(708,4208) = 2979264 / 4
LCM(708,4208) = 744816
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FAQs on GCF of Fractions of 9793/708, 8724/4208
1. What is the HCF of 9793,8724?
The HCF of 9793,8724 is 1
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 9793/708, 8724/4208?
Answer: GCF of Numerators as per given numbers 9793/708, 8724/4208 is
GCF of Numerators i.e. for 9793,8724 is 1
LCM of denominators i.e. for 708,4208 is 744816.
Thus, GCF of Fractions is 1/744816.Finally, GCF of Fractions for 9793/708, 8724/4208 is 1/744816.