GCF of 7722/900, 3867/640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7722/900, 3867/640 i.e 3/28800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7722/900, 3867/640.
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 7722/900,3867/640?
Given fractions are 7722/900,3867/640
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 7722/900,3867/640, numerators are 7722,3867
Denominators are 900,640
The GCF of 7722,3867 is 3 .
LCM of 900,640 is 28800.
The greatest common factor of 7722/900,3867/640 = [GCF of 7722,3867]/[LCM of 900,640]= 3/28800
Therefore, the GCF of 7722/900,3867/640 is 3/28800.
To find the highest common factor of 7722,3867, we have to find the factors of both numbers and list the highest common factor.
The factors of 7722 are 1, 2, 3, 6, 9, 11, 13, 18, 22, 26, 27, 33, 39, 54, 66, 78, 99, 117, 143, 198, 234, 286, 297, 351, 429, 594, 702, 858, 1287, 2574, 3861, 7722
The factors of 3867 are 1, 3, 1289, 3867
The HCF of 7722,3867 is 3.
Lets's calculate GCF of 7722,3867
| 3 | 7722, 3867 |
| 2574, 1289 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7722,3867 By Matching Biggest Common Factor Method
Now, list down the factors of 7722
:1,2,3,6,9,11,13,18,22,26,27,33,39,54,66,78,99,117,143,198,234,286,297,351,429,594,702,858,1287,2574,3861,7722
Now, list down the factors of 3867
:1,3,1289,3867
Greatest Common Factor
We found the factors 7722,3867 . The biggest common factor number is the GCF number.
So the greatest common factor 7722,3867 is 3.
Lets's calculate LCM of 900,640
| 2 | 900, 640 |
| 2 | 450, 320 |
| 5 | 225, 160 |
| 45, 32 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 45 x 32 = 28800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28800
Therefore, the GCF of Fractions 7722/900,3867/640 is 3/28800
Least Common Multiple of 900,640 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 900,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,640) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(900,640) x common factors =20 x 1 = 20
LCM(900,640) = ( 900 × 640 ) / 20
LCM(900,640) = 576000 / 20
LCM(900,640) = 28800
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FAQs on GCF of Fractions of 7722/900, 3867/640
1. What is the HCF of 7722,3867?
The HCF of 7722,3867 is 3
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 7722/900, 3867/640?
Answer: GCF of Numerators as per given numbers 7722/900, 3867/640 is
GCF of Numerators i.e. for 7722,3867 is 3
LCM of denominators i.e. for 900,640 is 28800.
Thus, GCF of Fractions is 3/28800.Finally, GCF of Fractions for 7722/900, 3867/640 is 3/28800.