GCF of 5139/354, 9627/9013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5139/354, 9627/9013 i.e 3/3190602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5139/354, 9627/9013.
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 5139/354,9627/9013?
Given fractions are 5139/354,9627/9013
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 5139/354,9627/9013, numerators are 5139,9627
Denominators are 354,9013
The GCF of 5139,9627 is 3 .
LCM of 354,9013 is 3190602.
The greatest common factor of 5139/354,9627/9013 = [GCF of 5139,9627]/[LCM of 354,9013]= 3/3190602
Therefore, the GCF of 5139/354,9627/9013 is 3/3190602.
To find the highest common factor of 5139,9627, we have to find the factors of both numbers and list the highest common factor.
The factors of 5139 are 1, 3, 9, 571, 1713, 5139
The factors of 9627 are 1, 3, 3209, 9627
The HCF of 5139,9627 is 3.
Lets's calculate GCF of 5139,9627
| 3 | 5139, 9627 |
| 1713, 3209 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5139,9627 By Matching Biggest Common Factor Method
Now, list down the factors of 5139
:1,3,9,571,1713,5139
Now, list down the factors of 9627
:1,3,3209,9627
Greatest Common Factor
We found the factors 5139,9627 . The biggest common factor number is the GCF number.
So the greatest common factor 5139,9627 is 3.
Lets's calculate LCM of 354,9013
Given numbers has no common factors except 1. So, there LCM is their product i.e 3190602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3190602
Therefore, the GCF of Fractions 5139/354,9627/9013 is 3/3190602
Least Common Multiple of 354,9013 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 354,9013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,9013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(354,9013) x common factors =1 x 1 = 1
LCM(354,9013) = ( 354 × 9013 ) / 1
LCM(354,9013) = 3190602 / 1
LCM(354,9013) = 3190602
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FAQs on GCF of Fractions of 5139/354, 9627/9013
1. What is the HCF of 5139,9627?
The HCF of 5139,9627 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 5139/354, 9627/9013?
Answer: GCF of Numerators as per given numbers 5139/354, 9627/9013 is
GCF of Numerators i.e. for 5139,9627 is 3
LCM of denominators i.e. for 354,9013 is 3190602.
Thus, GCF of Fractions is 3/3190602.Finally, GCF of Fractions for 5139/354, 9627/9013 is 3/3190602.