GCF of 1690/200, 3570/7374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1690/200, 3570/7374 i.e 10/737400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1690/200, 3570/7374.
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 1690/200,3570/7374?
Given fractions are 1690/200,3570/7374
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 1690/200,3570/7374, numerators are 1690,3570
Denominators are 200,7374
The GCF of 1690,3570 is 10 .
LCM of 200,7374 is 737400.
The greatest common factor of 1690/200,3570/7374 = [GCF of 1690,3570]/[LCM of 200,7374]= 10/737400
Therefore, the GCF of 1690/200,3570/7374 is 10/737400.
To find the highest common factor of 1690,3570, we have to find the factors of both numbers and list the highest common factor.
The factors of 1690 are 1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690
The factors of 3570 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 17, 21, 30, 34, 35, 42, 51, 70, 85, 102, 105, 119, 170, 210, 238, 255, 357, 510, 595, 714, 1190, 1785, 3570
The HCF of 1690,3570 is 10.
Lets's calculate GCF of 1690,3570
| 2 | 1690, 3570 |
| 5 | 845, 1785 |
| 169, 357 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1690,3570 By Matching Biggest Common Factor Method
Now, list down the factors of 1690
:1,2,5,10,13,26,65,130,169,338,845,1690
Now, list down the factors of 3570
:1,2,3,5,6,7,10,14,15,17,21,30,34,35,42,51,70,85,102,105,119,170,210,238,255,357,510,595,714,1190,1785,3570
Greatest Common Factor
We found the factors 1690,3570 . The biggest common factor number is the GCF number.
So the greatest common factor 1690,3570 is 10.
Lets's calculate LCM of 200,7374
| 2 | 200, 7374 |
| 100, 3687 |
∴ So the LCM of the given numbers is 2 x 100 x 3687 = 737400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/737400
Therefore, the GCF of Fractions 1690/200,3570/7374 is 10/737400
Least Common Multiple of 200,7374 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 200,7374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,7374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(200,7374) x common factors =2 x 1 = 2
LCM(200,7374) = ( 200 × 7374 ) / 2
LCM(200,7374) = 1474800 / 2
LCM(200,7374) = 737400
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FAQs on GCF of Fractions of 1690/200, 3570/7374
1. What is the HCF of 1690,3570?
The HCF of 1690,3570 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 1690/200, 3570/7374?
Answer: GCF of Numerators as per given numbers 1690/200, 3570/7374 is
GCF of Numerators i.e. for 1690,3570 is 10
LCM of denominators i.e. for 200,7374 is 737400.
Thus, GCF of Fractions is 10/737400.Finally, GCF of Fractions for 1690/200, 3570/7374 is 10/737400.