GCF of 1872/807, 8610/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1872/807, 8610/867 i.e 6/233223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1872/807, 8610/867.
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 1872/807,8610/867?
Given fractions are 1872/807,8610/867
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 1872/807,8610/867, numerators are 1872,8610
Denominators are 807,867
The GCF of 1872,8610 is 6 .
LCM of 807,867 is 233223.
The greatest common factor of 1872/807,8610/867 = [GCF of 1872,8610]/[LCM of 807,867]= 6/233223
Therefore, the GCF of 1872/807,8610/867 is 6/233223.
To find the highest common factor of 1872,8610, we have to find the factors of both numbers and list the highest common factor.
The factors of 1872 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 36, 39, 48, 52, 72, 78, 104, 117, 144, 156, 208, 234, 312, 468, 624, 936, 1872
The factors of 8610 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 410, 574, 615, 861, 1230, 1435, 1722, 2870, 4305, 8610
The HCF of 1872,8610 is 6.
Lets's calculate GCF of 1872,8610
| 2 | 1872, 8610 |
| 3 | 936, 4305 |
| 312, 1435 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 1872,8610 By Matching Biggest Common Factor Method
Now, list down the factors of 1872
:1,2,3,4,6,8,9,12,13,16,18,24,26,36,39,48,52,72,78,104,117,144,156,208,234,312,468,624,936,1872
Now, list down the factors of 8610
:1,2,3,5,6,7,10,14,15,21,30,35,41,42,70,82,105,123,205,210,246,287,410,574,615,861,1230,1435,1722,2870,4305,8610
Greatest Common Factor
We found the factors 1872,8610 . The biggest common factor number is the GCF number.
So the greatest common factor 1872,8610 is 6.
Lets's calculate LCM of 807,867
| 3 | 807, 867 |
| 269, 289 |
∴ So the LCM of the given numbers is 3 x 269 x 289 = 233223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/233223
Therefore, the GCF of Fractions 1872/807,8610/867 is 6/233223
Least Common Multiple of 807,867 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 807,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,867) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(807,867) x common factors =3 x 1 = 3
LCM(807,867) = ( 807 × 867 ) / 3
LCM(807,867) = 699669 / 3
LCM(807,867) = 233223
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1872/807, 8610/867
1. What is the HCF of 1872,8610?
The HCF of 1872,8610 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 1872/807, 8610/867?
Answer: GCF of Numerators as per given numbers 1872/807, 8610/867 is
GCF of Numerators i.e. for 1872,8610 is 6
LCM of denominators i.e. for 807,867 is 233223.
Thus, GCF of Fractions is 6/233223.Finally, GCF of Fractions for 1872/807, 8610/867 is 6/233223.