GCF of 8818/240, 7598/7874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8818/240, 7598/7874 i.e 2/944880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8818/240, 7598/7874.
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 8818/240,7598/7874?
Given fractions are 8818/240,7598/7874
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 8818/240,7598/7874, numerators are 8818,7598
Denominators are 240,7874
The GCF of 8818,7598 is 2 .
LCM of 240,7874 is 944880.
The greatest common factor of 8818/240,7598/7874 = [GCF of 8818,7598]/[LCM of 240,7874]= 2/944880
Therefore, the GCF of 8818/240,7598/7874 is 2/944880.
To find the highest common factor of 8818,7598, we have to find the factors of both numbers and list the highest common factor.
The factors of 8818 are 1, 2, 4409, 8818
The factors of 7598 are 1, 2, 29, 58, 131, 262, 3799, 7598
The HCF of 8818,7598 is 2.
Lets's calculate GCF of 8818,7598
| 2 | 8818, 7598 |
| 4409, 3799 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8818,7598 By Matching Biggest Common Factor Method
Now, list down the factors of 8818
:1,2,4409,8818
Now, list down the factors of 7598
:1,2,29,58,131,262,3799,7598
Greatest Common Factor
We found the factors 8818,7598 . The biggest common factor number is the GCF number.
So the greatest common factor 8818,7598 is 2.
Lets's calculate LCM of 240,7874
| 2 | 240, 7874 |
| 120, 3937 |
∴ So the LCM of the given numbers is 2 x 120 x 3937 = 944880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/944880
Therefore, the GCF of Fractions 8818/240,7598/7874 is 2/944880
Least Common Multiple of 240,7874 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 240,7874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(240,7874) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(240,7874) x common factors =2 x 1 = 2
LCM(240,7874) = ( 240 × 7874 ) / 2
LCM(240,7874) = 1889760 / 2
LCM(240,7874) = 944880
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FAQs on GCF of Fractions of 8818/240, 7598/7874
1. What is the HCF of 8818,7598?
The HCF of 8818,7598 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 8818/240, 7598/7874?
Answer: GCF of Numerators as per given numbers 8818/240, 7598/7874 is
GCF of Numerators i.e. for 8818,7598 is 2
LCM of denominators i.e. for 240,7874 is 944880.
Thus, GCF of Fractions is 2/944880.Finally, GCF of Fractions for 8818/240, 7598/7874 is 2/944880.