GCF of 7685/598, 8829/3736
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7685/598, 8829/3736 i.e 1/1117064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7685/598, 8829/3736.
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 7685/598,8829/3736?
Given fractions are 7685/598,8829/3736
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 7685/598,8829/3736, numerators are 7685,8829
Denominators are 598,3736
The GCF of 7685,8829 is 1 .
LCM of 598,3736 is 1117064.
The greatest common factor of 7685/598,8829/3736 = [GCF of 7685,8829]/[LCM of 598,3736]= 1/1117064
Therefore, the GCF of 7685/598,8829/3736 is 1/1117064.
To find the highest common factor of 7685,8829, we have to find the factors of both numbers and list the highest common factor.
The factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685
The factors of 8829 are 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829
The HCF of 7685,8829 is 1.
Lets's calculate GCF of 7685,8829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7685,8829 By Matching Biggest Common Factor Method
Now, list down the factors of 7685
:1,5,29,53,145,265,1537,7685
Now, list down the factors of 8829
:1,3,9,27,81,109,327,981,2943,8829
Greatest Common Factor
We found the factors 7685,8829 . The biggest common factor number is the GCF number.
So the greatest common factor 7685,8829 is 1.
Lets's calculate LCM of 598,3736
| 2 | 598, 3736 |
| 299, 1868 |
∴ So the LCM of the given numbers is 2 x 299 x 1868 = 1117064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1117064
Therefore, the GCF of Fractions 7685/598,8829/3736 is 1/1117064
Least Common Multiple of 598,3736 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 598,3736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,3736) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,3736) x common factors =2 x 1 = 2
LCM(598,3736) = ( 598 × 3736 ) / 2
LCM(598,3736) = 2234128 / 2
LCM(598,3736) = 1117064
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FAQs on GCF of Fractions of 7685/598, 8829/3736
1. What is the HCF of 7685,8829?
The HCF of 7685,8829 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 7685/598, 8829/3736?
Answer: GCF of Numerators as per given numbers 7685/598, 8829/3736 is
GCF of Numerators i.e. for 7685,8829 is 1
LCM of denominators i.e. for 598,3736 is 1117064.
Thus, GCF of Fractions is 1/1117064.Finally, GCF of Fractions for 7685/598, 8829/3736 is 1/1117064.