GCF of 3575/662, 9900/840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3575/662, 9900/840 i.e 275/278040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3575/662, 9900/840.
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 3575/662,9900/840?
Given fractions are 3575/662,9900/840
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 3575/662,9900/840, numerators are 3575,9900
Denominators are 662,840
The GCF of 3575,9900 is 275 .
LCM of 662,840 is 278040.
The greatest common factor of 3575/662,9900/840 = [GCF of 3575,9900]/[LCM of 662,840]= 275/278040
Therefore, the GCF of 3575/662,9900/840 is 275/278040.
To find the highest common factor of 3575,9900, we have to find the factors of both numbers and list the highest common factor.
The factors of 3575 are 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575
The factors of 9900 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 30, 33, 36, 44, 45, 50, 55, 60, 66, 75, 90, 99, 100, 110, 132, 150, 165, 180, 198, 220, 225, 275, 300, 330, 396, 450, 495, 550, 660, 825, 900, 990, 1100, 1650, 1980, 2475, 3300, 4950, 9900
The HCF of 3575,9900 is 275.
Lets's calculate GCF of 3575,9900
| 5 | 3575, 9900 |
| 5 | 715, 1980 |
| 11 | 143, 396 |
| 13, 36 |
∴ So the GCF of the given numbers is 5 x 5 x 11 = 275
Greatest Common Factor of 3575,9900 By Matching Biggest Common Factor Method
Now, list down the factors of 3575
:1,5,11,13,25,55,65,143,275,325,715,3575
Now, list down the factors of 9900
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,25,30,33,36,44,45,50,55,60,66,75,90,99,100,110,132,150,165,180,198,220,225,275,300,330,396,450,495,550,660,825,900,990,1100,1650,1980,2475,3300,4950,9900
Greatest Common Factor
We found the factors 3575,9900 . The biggest common factor number is the GCF number.
So the greatest common factor 3575,9900 is 275.
Lets's calculate LCM of 662,840
| 2 | 662, 840 |
| 331, 420 |
∴ So the LCM of the given numbers is 2 x 331 x 420 = 278040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 275/278040
Therefore, the GCF of Fractions 3575/662,9900/840 is 275/278040
Least Common Multiple of 662,840 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 662,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,840) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,840) x common factors =2 x 1 = 2
LCM(662,840) = ( 662 × 840 ) / 2
LCM(662,840) = 556080 / 2
LCM(662,840) = 278040
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FAQs on GCF of Fractions of 3575/662, 9900/840
1. What is the HCF of 3575,9900?
The HCF of 3575,9900 is 275
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 3575/662, 9900/840?
Answer: GCF of Numerators as per given numbers 3575/662, 9900/840 is
GCF of Numerators i.e. for 3575,9900 is 275
LCM of denominators i.e. for 662,840 is 278040.
Thus, GCF of Fractions is 275/278040.Finally, GCF of Fractions for 3575/662, 9900/840 is 275/278040.