GCF of 1842/710, 9720/307
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1842/710, 9720/307 i.e 6/217970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1842/710, 9720/307.
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 1842/710,9720/307?
Given fractions are 1842/710,9720/307
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 1842/710,9720/307, numerators are 1842,9720
Denominators are 710,307
The GCF of 1842,9720 is 6 .
LCM of 710,307 is 217970.
The greatest common factor of 1842/710,9720/307 = [GCF of 1842,9720]/[LCM of 710,307]= 6/217970
Therefore, the GCF of 1842/710,9720/307 is 6/217970.
To find the highest common factor of 1842,9720, we have to find the factors of both numbers and list the highest common factor.
The factors of 1842 are 1, 2, 3, 6, 307, 614, 921, 1842
The factors of 9720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 81, 90, 108, 120, 135, 162, 180, 216, 243, 270, 324, 360, 405, 486, 540, 648, 810, 972, 1080, 1215, 1620, 1944, 2430, 3240, 4860, 9720
The HCF of 1842,9720 is 6.
Lets's calculate GCF of 1842,9720
| 2 | 1842, 9720 |
| 3 | 921, 4860 |
| 307, 1620 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1842,9720 By Matching Biggest Common Factor Method
Now, list down the factors of 1842
:1,2,3,6,307,614,921,1842
Now, list down the factors of 9720
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,243,270,324,360,405,486,540,648,810,972,1080,1215,1620,1944,2430,3240,4860,9720
Greatest Common Factor
We found the factors 1842,9720 . The biggest common factor number is the GCF number.
So the greatest common factor 1842,9720 is 6.
Lets's calculate LCM of 710,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 217970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/217970
Therefore, the GCF of Fractions 1842/710,9720/307 is 6/217970
Least Common Multiple of 710,307 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 710,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(710,307) x common factors =1 x 1 = 1
LCM(710,307) = ( 710 × 307 ) / 1
LCM(710,307) = 217970 / 1
LCM(710,307) = 217970
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FAQs on GCF of Fractions of 1842/710, 9720/307
1. What is the HCF of 1842,9720?
The HCF of 1842,9720 is 6
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 1842/710, 9720/307?
Answer: GCF of Numerators as per given numbers 1842/710, 9720/307 is
GCF of Numerators i.e. for 1842,9720 is 6
LCM of denominators i.e. for 710,307 is 217970.
Thus, GCF of Fractions is 6/217970.Finally, GCF of Fractions for 1842/710, 9720/307 is 6/217970.