GCF of 5490/742, 1470/5710
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5490/742, 1470/5710 i.e 30/2118410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5490/742, 1470/5710.
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 5490/742,1470/5710?
Given fractions are 5490/742,1470/5710
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 5490/742,1470/5710, numerators are 5490,1470
Denominators are 742,5710
The GCF of 5490,1470 is 30 .
LCM of 742,5710 is 2118410.
The greatest common factor of 5490/742,1470/5710 = [GCF of 5490,1470]/[LCM of 742,5710]= 30/2118410
Therefore, the GCF of 5490/742,1470/5710 is 30/2118410.
To find the highest common factor of 5490,1470, we have to find the factors of both numbers and list the highest common factor.
The factors of 5490 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 61, 90, 122, 183, 305, 366, 549, 610, 915, 1098, 1830, 2745, 5490
The factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470
The HCF of 5490,1470 is 30.
Lets's calculate GCF of 5490,1470
| 2 | 5490, 1470 |
| 3 | 2745, 735 |
| 5 | 915, 245 |
| 183, 49 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Greatest Common Factor of 5490,1470 By Matching Biggest Common Factor Method
Now, list down the factors of 5490
:1,2,3,5,6,9,10,15,18,30,45,61,90,122,183,305,366,549,610,915,1098,1830,2745,5490
Now, list down the factors of 1470
:1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470
Greatest Common Factor
We found the factors 5490,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 5490,1470 is 30.
Lets's calculate LCM of 742,5710
| 2 | 742, 5710 |
| 371, 2855 |
∴ So the LCM of the given numbers is 2 x 371 x 2855 = 2118410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/2118410
Therefore, the GCF of Fractions 5490/742,1470/5710 is 30/2118410
Least Common Multiple of 742,5710 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 742,5710 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,5710) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(742,5710) x common factors =2 x 1 = 2
LCM(742,5710) = ( 742 × 5710 ) / 2
LCM(742,5710) = 4236820 / 2
LCM(742,5710) = 2118410
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FAQs on GCF of Fractions of 5490/742, 1470/5710
1. What is the HCF of 5490,1470?
The HCF of 5490,1470 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 5490/742, 1470/5710?
Answer: GCF of Numerators as per given numbers 5490/742, 1470/5710 is
GCF of Numerators i.e. for 5490,1470 is 30
LCM of denominators i.e. for 742,5710 is 2118410.
Thus, GCF of Fractions is 30/2118410.Finally, GCF of Fractions for 5490/742, 1470/5710 is 30/2118410.