GCF of 3330/742, 3500/6881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3330/742, 3500/6881 i.e 10/729386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3330/742, 3500/6881.
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 3330/742,3500/6881?
Given fractions are 3330/742,3500/6881
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 3330/742,3500/6881, numerators are 3330,3500
Denominators are 742,6881
The GCF of 3330,3500 is 10 .
LCM of 742,6881 is 729386.
The greatest common factor of 3330/742,3500/6881 = [GCF of 3330,3500]/[LCM of 742,6881]= 10/729386
Therefore, the GCF of 3330/742,3500/6881 is 10/729386.
To find the highest common factor of 3330,3500, we have to find the factors of both numbers and list the highest common factor.
The factors of 3330 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330
The factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500
The HCF of 3330,3500 is 10.
Lets's calculate GCF of 3330,3500
| 2 | 3330, 3500 |
| 5 | 1665, 1750 |
| 333, 350 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3330,3500 By Matching Biggest Common Factor Method
Now, list down the factors of 3330
:1,2,3,5,6,9,10,15,18,30,37,45,74,90,111,185,222,333,370,555,666,1110,1665,3330
Now, list down the factors of 3500
:1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500
Greatest Common Factor
We found the factors 3330,3500 . The biggest common factor number is the GCF number.
So the greatest common factor 3330,3500 is 10.
Lets's calculate LCM of 742,6881
| 7 | 742, 6881 |
| 106, 983 |
∴ So the LCM of the given numbers is 7 x 106 x 983 = 729386
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/729386
Therefore, the GCF of Fractions 3330/742,3500/6881 is 10/729386
Least Common Multiple of 742,6881 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 742,6881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,6881) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(742,6881) x common factors =7 x 1 = 7
LCM(742,6881) = ( 742 × 6881 ) / 7
LCM(742,6881) = 5105702 / 7
LCM(742,6881) = 729386
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FAQs on GCF of Fractions of 3330/742, 3500/6881
1. What is the HCF of 3330,3500?
The HCF of 3330,3500 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 3330/742, 3500/6881?
Answer: GCF of Numerators as per given numbers 3330/742, 3500/6881 is
GCF of Numerators i.e. for 3330,3500 is 10
LCM of denominators i.e. for 742,6881 is 729386.
Thus, GCF of Fractions is 10/729386.Finally, GCF of Fractions for 3330/742, 3500/6881 is 10/729386.