GCF of 8444/360, 8778/257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8444/360, 8778/257 i.e 2/92520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8444/360, 8778/257.
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 8444/360,8778/257?
Given fractions are 8444/360,8778/257
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 8444/360,8778/257, numerators are 8444,8778
Denominators are 360,257
The GCF of 8444,8778 is 2 .
LCM of 360,257 is 92520.
The greatest common factor of 8444/360,8778/257 = [GCF of 8444,8778]/[LCM of 360,257]= 2/92520
Therefore, the GCF of 8444/360,8778/257 is 2/92520.
To find the highest common factor of 8444,8778, we have to find the factors of both numbers and list the highest common factor.
The factors of 8444 are 1, 2, 4, 2111, 4222, 8444
The factors of 8778 are 1, 2, 3, 6, 7, 11, 14, 19, 21, 22, 33, 38, 42, 57, 66, 77, 114, 133, 154, 209, 231, 266, 399, 418, 462, 627, 798, 1254, 1463, 2926, 4389, 8778
The HCF of 8444,8778 is 2.
Lets's calculate GCF of 8444,8778
| 2 | 8444, 8778 |
| 4222, 4389 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8444,8778 By Matching Biggest Common Factor Method
Now, list down the factors of 8444
:1,2,4,2111,4222,8444
Now, list down the factors of 8778
:1,2,3,6,7,11,14,19,21,22,33,38,42,57,66,77,114,133,154,209,231,266,399,418,462,627,798,1254,1463,2926,4389,8778
Greatest Common Factor
We found the factors 8444,8778 . The biggest common factor number is the GCF number.
So the greatest common factor 8444,8778 is 2.
Lets's calculate LCM of 360,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 92520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92520
Therefore, the GCF of Fractions 8444/360,8778/257 is 2/92520
Least Common Multiple of 360,257 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 360,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(360,257) x common factors =1 x 1 = 1
LCM(360,257) = ( 360 × 257 ) / 1
LCM(360,257) = 92520 / 1
LCM(360,257) = 92520
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FAQs on GCF of Fractions of 8444/360, 8778/257
1. What is the HCF of 8444,8778?
The HCF of 8444,8778 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 8444/360, 8778/257?
Answer: GCF of Numerators as per given numbers 8444/360, 8778/257 is
GCF of Numerators i.e. for 8444,8778 is 2
LCM of denominators i.e. for 360,257 is 92520.
Thus, GCF of Fractions is 2/92520.Finally, GCF of Fractions for 8444/360, 8778/257 is 2/92520.