GCF of 3155/186, 3444/7100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3155/186, 3444/7100 i.e 1/660300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3155/186, 3444/7100.
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 3155/186,3444/7100?
Given fractions are 3155/186,3444/7100
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 3155/186,3444/7100, numerators are 3155,3444
Denominators are 186,7100
The GCF of 3155,3444 is 1 .
LCM of 186,7100 is 660300.
The greatest common factor of 3155/186,3444/7100 = [GCF of 3155,3444]/[LCM of 186,7100]= 1/660300
Therefore, the GCF of 3155/186,3444/7100 is 1/660300.
To find the highest common factor of 3155,3444, we have to find the factors of both numbers and list the highest common factor.
The factors of 3155 are 1, 5, 631, 3155
The factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444
The HCF of 3155,3444 is 1.
Lets's calculate GCF of 3155,3444
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3155,3444 By Matching Biggest Common Factor Method
Now, list down the factors of 3155
:1,5,631,3155
Now, list down the factors of 3444
:1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444
Greatest Common Factor
We found the factors 3155,3444 . The biggest common factor number is the GCF number.
So the greatest common factor 3155,3444 is 1.
Lets's calculate LCM of 186,7100
| 2 | 186, 7100 |
| 93, 3550 |
∴ So the LCM of the given numbers is 2 x 93 x 3550 = 660300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/660300
Therefore, the GCF of Fractions 3155/186,3444/7100 is 1/660300
Least Common Multiple of 186,7100 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 186,7100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,7100) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,7100) x common factors =2 x 1 = 2
LCM(186,7100) = ( 186 × 7100 ) / 2
LCM(186,7100) = 1320600 / 2
LCM(186,7100) = 660300
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FAQs on GCF of Fractions of 3155/186, 3444/7100
1. What is the HCF of 3155,3444?
The HCF of 3155,3444 is 1
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 3155/186, 3444/7100?
Answer: GCF of Numerators as per given numbers 3155/186, 3444/7100 is
GCF of Numerators i.e. for 3155,3444 is 1
LCM of denominators i.e. for 186,7100 is 660300.
Thus, GCF of Fractions is 1/660300.Finally, GCF of Fractions for 3155/186, 3444/7100 is 1/660300.