GCF of 6240/355, 7722/2338
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6240/355, 7722/2338 i.e 78/829990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6240/355, 7722/2338.
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 6240/355,7722/2338?
Given fractions are 6240/355,7722/2338
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 6240/355,7722/2338, numerators are 6240,7722
Denominators are 355,2338
The GCF of 6240,7722 is 78 .
LCM of 355,2338 is 829990.
The greatest common factor of 6240/355,7722/2338 = [GCF of 6240,7722]/[LCM of 355,2338]= 78/829990
Therefore, the GCF of 6240/355,7722/2338 is 78/829990.
To find the highest common factor of 6240,7722, we have to find the factors of both numbers and list the highest common factor.
The factors of 6240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 780, 1040, 1248, 1560, 2080, 3120, 6240
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 HCF of 6240,7722 is 78.
Lets's calculate GCF of 6240,7722
| 2 | 6240, 7722 |
| 3 | 3120, 3861 |
| 13 | 1040, 1287 |
| 80, 99 |
∴ So the GCF of the given numbers is 2 x 3 x 13 = 78
Greatest Common Factor of 6240,7722 By Matching Biggest Common Factor Method
Now, list down the factors of 6240
:1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,32,39,40,48,52,60,65,78,80,96,104,120,130,156,160,195,208,240,260,312,390,416,480,520,624,780,1040,1248,1560,2080,3120,6240
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
Greatest Common Factor
We found the factors 6240,7722 . The biggest common factor number is the GCF number.
So the greatest common factor 6240,7722 is 78.
Lets's calculate LCM of 355,2338
Given numbers has no common factors except 1. So, there LCM is their product i.e 829990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 78/829990
Therefore, the GCF of Fractions 6240/355,7722/2338 is 78/829990
Least Common Multiple of 355,2338 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 355,2338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,2338) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,2338) x common factors =1 x 1 = 1
LCM(355,2338) = ( 355 × 2338 ) / 1
LCM(355,2338) = 829990 / 1
LCM(355,2338) = 829990
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FAQs on GCF of Fractions of 6240/355, 7722/2338
1. What is the HCF of 6240,7722?
The HCF of 6240,7722 is 78
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 6240/355, 7722/2338?
Answer: GCF of Numerators as per given numbers 6240/355, 7722/2338 is
GCF of Numerators i.e. for 6240,7722 is 78
LCM of denominators i.e. for 355,2338 is 829990.
Thus, GCF of Fractions is 78/829990.Finally, GCF of Fractions for 6240/355, 7722/2338 is 78/829990.