GCF of 3560/475, 7590/1770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3560/475, 7590/1770 i.e 10/168150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3560/475, 7590/1770.
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 3560/475,7590/1770?
Given fractions are 3560/475,7590/1770
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 3560/475,7590/1770, numerators are 3560,7590
Denominators are 475,1770
The GCF of 3560,7590 is 10 .
LCM of 475,1770 is 168150.
The greatest common factor of 3560/475,7590/1770 = [GCF of 3560,7590]/[LCM of 475,1770]= 10/168150
Therefore, the GCF of 3560/475,7590/1770 is 10/168150.
To find the highest common factor of 3560,7590, we have to find the factors of both numbers and list the highest common factor.
The factors of 3560 are 1, 2, 4, 5, 8, 10, 20, 40, 89, 178, 356, 445, 712, 890, 1780, 3560
The factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590
The HCF of 3560,7590 is 10.
Lets's calculate GCF of 3560,7590
| 2 | 3560, 7590 |
| 5 | 1780, 3795 |
| 356, 759 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3560,7590 By Matching Biggest Common Factor Method
Now, list down the factors of 3560
:1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560
Now, list down the factors of 7590
:1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590
Greatest Common Factor
We found the factors 3560,7590 . The biggest common factor number is the GCF number.
So the greatest common factor 3560,7590 is 10.
Lets's calculate LCM of 475,1770
| 5 | 475, 1770 |
| 95, 354 |
∴ So the LCM of the given numbers is 5 x 95 x 354 = 168150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/168150
Therefore, the GCF of Fractions 3560/475,7590/1770 is 10/168150
Least Common Multiple of 475,1770 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 475,1770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,1770) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(475,1770) x common factors =5 x 1 = 5
LCM(475,1770) = ( 475 × 1770 ) / 5
LCM(475,1770) = 840750 / 5
LCM(475,1770) = 168150
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FAQs on GCF of Fractions of 3560/475, 7590/1770
1. What is the HCF of 3560,7590?
The HCF of 3560,7590 is 10
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 3560/475, 7590/1770?
Answer: GCF of Numerators as per given numbers 3560/475, 7590/1770 is
GCF of Numerators i.e. for 3560,7590 is 10
LCM of denominators i.e. for 475,1770 is 168150.
Thus, GCF of Fractions is 10/168150.Finally, GCF of Fractions for 3560/475, 7590/1770 is 10/168150.