GCF of 5310/660, 5880/5725
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5310/660, 5880/5725 i.e 30/755700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5310/660, 5880/5725.
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 5310/660,5880/5725?
Given fractions are 5310/660,5880/5725
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 5310/660,5880/5725, numerators are 5310,5880
Denominators are 660,5725
The GCF of 5310,5880 is 30 .
LCM of 660,5725 is 755700.
The greatest common factor of 5310/660,5880/5725 = [GCF of 5310,5880]/[LCM of 660,5725]= 30/755700
Therefore, the GCF of 5310/660,5880/5725 is 30/755700.
To find the highest common factor of 5310,5880, we have to find the factors of both numbers and list the highest common factor.
The factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310
The factors of 5880 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 49, 56, 60, 70, 84, 98, 105, 120, 140, 147, 168, 196, 210, 245, 280, 294, 392, 420, 490, 588, 735, 840, 980, 1176, 1470, 1960, 2940, 5880
The HCF of 5310,5880 is 30.
Lets's calculate GCF of 5310,5880
| 2 | 5310, 5880 |
| 3 | 2655, 2940 |
| 5 | 885, 980 |
| 177, 196 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 5310,5880 By Matching Biggest Common Factor Method
Now, list down the factors of 5310
:1,2,3,5,6,9,10,15,18,30,45,59,90,118,177,295,354,531,590,885,1062,1770,2655,5310
Now, list down the factors of 5880
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,49,56,60,70,84,98,105,120,140,147,168,196,210,245,280,294,392,420,490,588,735,840,980,1176,1470,1960,2940,5880
Greatest Common Factor
We found the factors 5310,5880 . The biggest common factor number is the GCF number.
So the greatest common factor 5310,5880 is 30.
Lets's calculate LCM of 660,5725
| 5 | 660, 5725 |
| 132, 1145 |
∴ So the LCM of the given numbers is 5 x 132 x 1145 = 755700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/755700
Therefore, the GCF of Fractions 5310/660,5880/5725 is 30/755700
Least Common Multiple of 660,5725 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 660,5725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,5725) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(660,5725) x common factors =5 x 1 = 5
LCM(660,5725) = ( 660 × 5725 ) / 5
LCM(660,5725) = 3778500 / 5
LCM(660,5725) = 755700
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FAQs on GCF of Fractions of 5310/660, 5880/5725
1. What is the HCF of 5310,5880?
The HCF of 5310,5880 is 30
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 5310/660, 5880/5725?
Answer: GCF of Numerators as per given numbers 5310/660, 5880/5725 is
GCF of Numerators i.e. for 5310,5880 is 30
LCM of denominators i.e. for 660,5725 is 755700.
Thus, GCF of Fractions is 30/755700.Finally, GCF of Fractions for 5310/660, 5880/5725 is 30/755700.