GCF of 2786/416, 8574/7943
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2786/416, 8574/7943 i.e 2/254176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2786/416, 8574/7943.
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 2786/416,8574/7943?
Given fractions are 2786/416,8574/7943
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 2786/416,8574/7943, numerators are 2786,8574
Denominators are 416,7943
The GCF of 2786,8574 is 2 .
LCM of 416,7943 is 254176.
The greatest common factor of 2786/416,8574/7943 = [GCF of 2786,8574]/[LCM of 416,7943]= 2/254176
Therefore, the GCF of 2786/416,8574/7943 is 2/254176.
To find the highest common factor of 2786,8574, we have to find the factors of both numbers and list the highest common factor.
The factors of 2786 are 1, 2, 7, 14, 199, 398, 1393, 2786
The factors of 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574
The HCF of 2786,8574 is 2.
Lets's calculate GCF of 2786,8574
| 2 | 2786, 8574 |
| 1393, 4287 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2786,8574 By Matching Biggest Common Factor Method
Now, list down the factors of 2786
:1,2,7,14,199,398,1393,2786
Now, list down the factors of 8574
:1,2,3,6,1429,2858,4287,8574
Greatest Common Factor
We found the factors 2786,8574 . The biggest common factor number is the GCF number.
So the greatest common factor 2786,8574 is 2.
Lets's calculate LCM of 416,7943
| 13 | 416, 7943 |
| 32, 611 |
∴ So the LCM of the given numbers is 13 x 32 x 611 = 254176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/254176
Therefore, the GCF of Fractions 2786/416,8574/7943 is 2/254176
Least Common Multiple of 416,7943 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 416,7943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,7943) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(416,7943) x common factors =13 x 1 = 13
LCM(416,7943) = ( 416 × 7943 ) / 13
LCM(416,7943) = 3304288 / 13
LCM(416,7943) = 254176
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FAQs on GCF of Fractions of 2786/416, 8574/7943
1. What is the HCF of 2786,8574?
The HCF of 2786,8574 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 2786/416, 8574/7943?
Answer: GCF of Numerators as per given numbers 2786/416, 8574/7943 is
GCF of Numerators i.e. for 2786,8574 is 2
LCM of denominators i.e. for 416,7943 is 254176.
Thus, GCF of Fractions is 2/254176.Finally, GCF of Fractions for 2786/416, 8574/7943 is 2/254176.