GCF of 1551/278, 8838/193
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1551/278, 8838/193 i.e 3/53654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1551/278, 8838/193.
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 1551/278,8838/193?
Given fractions are 1551/278,8838/193
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 1551/278,8838/193, numerators are 1551,8838
Denominators are 278,193
The GCF of 1551,8838 is 3 .
LCM of 278,193 is 53654.
The greatest common factor of 1551/278,8838/193 = [GCF of 1551,8838]/[LCM of 278,193]= 3/53654
Therefore, the GCF of 1551/278,8838/193 is 3/53654.
To find the highest common factor of 1551,8838, we have to find the factors of both numbers and list the highest common factor.
The factors of 1551 are 1, 3, 11, 33, 47, 141, 517, 1551
The factors of 8838 are 1, 2, 3, 6, 9, 18, 491, 982, 1473, 2946, 4419, 8838
The HCF of 1551,8838 is 3.
Lets's calculate GCF of 1551,8838
| 3 | 1551, 8838 |
| 517, 2946 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1551,8838 By Matching Biggest Common Factor Method
Now, list down the factors of 1551
:1,3,11,33,47,141,517,1551
Now, list down the factors of 8838
:1,2,3,6,9,18,491,982,1473,2946,4419,8838
Greatest Common Factor
We found the factors 1551,8838 . The biggest common factor number is the GCF number.
So the greatest common factor 1551,8838 is 3.
Lets's calculate LCM of 278,193
Given numbers has no common factors except 1. So, there LCM is their product i.e 53654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/53654
Therefore, the GCF of Fractions 1551/278,8838/193 is 3/53654
Least Common Multiple of 278,193 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 278,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,193) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,193) x common factors =1 x 1 = 1
LCM(278,193) = ( 278 × 193 ) / 1
LCM(278,193) = 53654 / 1
LCM(278,193) = 53654
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FAQs on GCF of Fractions of 1551/278, 8838/193
1. What is the HCF of 1551,8838?
The HCF of 1551,8838 is 3
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 1551/278, 8838/193?
Answer: GCF of Numerators as per given numbers 1551/278, 8838/193 is
GCF of Numerators i.e. for 1551,8838 is 3
LCM of denominators i.e. for 278,193 is 53654.
Thus, GCF of Fractions is 3/53654.Finally, GCF of Fractions for 1551/278, 8838/193 is 3/53654.