GCF of 5133/42, 6630/355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5133/42, 6630/355 i.e 3/14910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5133/42, 6630/355.
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 5133/42,6630/355?
Given fractions are 5133/42,6630/355
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 5133/42,6630/355, numerators are 5133,6630
Denominators are 42,355
The GCF of 5133,6630 is 3 .
LCM of 42,355 is 14910.
The greatest common factor of 5133/42,6630/355 = [GCF of 5133,6630]/[LCM of 42,355]= 3/14910
Therefore, the GCF of 5133/42,6630/355 is 3/14910.
To find the highest common factor of 5133,6630, we have to find the factors of both numbers and list the highest common factor.
The factors of 5133 are 1, 3, 29, 59, 87, 177, 1711, 5133
The factors of 6630 are 1, 2, 3, 5, 6, 10, 13, 15, 17, 26, 30, 34, 39, 51, 65, 78, 85, 102, 130, 170, 195, 221, 255, 390, 442, 510, 663, 1105, 1326, 2210, 3315, 6630
The HCF of 5133,6630 is 3.
Lets's calculate GCF of 5133,6630
| 3 | 5133, 6630 |
| 1711, 2210 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5133,6630 By Matching Biggest Common Factor Method
Now, list down the factors of 5133
:1,3,29,59,87,177,1711,5133
Now, list down the factors of 6630
:1,2,3,5,6,10,13,15,17,26,30,34,39,51,65,78,85,102,130,170,195,221,255,390,442,510,663,1105,1326,2210,3315,6630
Greatest Common Factor
We found the factors 5133,6630 . The biggest common factor number is the GCF number.
So the greatest common factor 5133,6630 is 3.
Lets's calculate LCM of 42,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 14910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14910
Therefore, the GCF of Fractions 5133/42,6630/355 is 3/14910
Least Common Multiple of 42,355 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 42,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,355) x common factors =1 x 1 = 1
LCM(42,355) = ( 42 × 355 ) / 1
LCM(42,355) = 14910 / 1
LCM(42,355) = 14910
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FAQs on GCF of Fractions of 5133/42, 6630/355
1. What is the HCF of 5133,6630?
The HCF of 5133,6630 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 5133/42, 6630/355?
Answer: GCF of Numerators as per given numbers 5133/42, 6630/355 is
GCF of Numerators i.e. for 5133,6630 is 3
LCM of denominators i.e. for 42,355 is 14910.
Thus, GCF of Fractions is 3/14910.Finally, GCF of Fractions for 5133/42, 6630/355 is 3/14910.