GCF of 4438/293, 8278/7087
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4438/293, 8278/7087 i.e 2/2076491 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4438/293, 8278/7087.
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 4438/293,8278/7087?
Given fractions are 4438/293,8278/7087
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 4438/293,8278/7087, numerators are 4438,8278
Denominators are 293,7087
The GCF of 4438,8278 is 2 .
LCM of 293,7087 is 2076491.
The greatest common factor of 4438/293,8278/7087 = [GCF of 4438,8278]/[LCM of 293,7087]= 2/2076491
Therefore, the GCF of 4438/293,8278/7087 is 2/2076491.
To find the highest common factor of 4438,8278, we have to find the factors of both numbers and list the highest common factor.
The factors of 4438 are 1, 2, 7, 14, 317, 634, 2219, 4438
The factors of 8278 are 1, 2, 4139, 8278
The HCF of 4438,8278 is 2.
Lets's calculate GCF of 4438,8278
| 2 | 4438, 8278 |
| 2219, 4139 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4438,8278 By Matching Biggest Common Factor Method
Now, list down the factors of 4438
:1,2,7,14,317,634,2219,4438
Now, list down the factors of 8278
:1,2,4139,8278
Greatest Common Factor
We found the factors 4438,8278 . The biggest common factor number is the GCF number.
So the greatest common factor 4438,8278 is 2.
Lets's calculate LCM of 293,7087
Given numbers has no common factors except 1. So, there LCM is their product i.e 2076491
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2076491
Therefore, the GCF of Fractions 4438/293,8278/7087 is 2/2076491
Least Common Multiple of 293,7087 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 293,7087 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,7087) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,7087) x common factors =1 x 1 = 1
LCM(293,7087) = ( 293 × 7087 ) / 1
LCM(293,7087) = 2076491 / 1
LCM(293,7087) = 2076491
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FAQs on GCF of Fractions of 4438/293, 8278/7087
1. What is the HCF of 4438,8278?
The HCF of 4438,8278 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 4438/293, 8278/7087?
Answer: GCF of Numerators as per given numbers 4438/293, 8278/7087 is
GCF of Numerators i.e. for 4438,8278 is 2
LCM of denominators i.e. for 293,7087 is 2076491.
Thus, GCF of Fractions is 2/2076491.Finally, GCF of Fractions for 4438/293, 8278/7087 is 2/2076491.