GCF of 7761/360, 5856/7284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7761/360, 5856/7284 i.e 3/218520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7761/360, 5856/7284.
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 7761/360,5856/7284?
Given fractions are 7761/360,5856/7284
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 7761/360,5856/7284, numerators are 7761,5856
Denominators are 360,7284
The GCF of 7761,5856 is 3 .
LCM of 360,7284 is 218520.
The greatest common factor of 7761/360,5856/7284 = [GCF of 7761,5856]/[LCM of 360,7284]= 3/218520
Therefore, the GCF of 7761/360,5856/7284 is 3/218520.
To find the highest common factor of 7761,5856, we have to find the factors of both numbers and list the highest common factor.
The factors of 7761 are 1, 3, 13, 39, 199, 597, 2587, 7761
The factors of 5856 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 96, 122, 183, 244, 366, 488, 732, 976, 1464, 1952, 2928, 5856
The HCF of 7761,5856 is 3.
Lets's calculate GCF of 7761,5856
| 3 | 7761, 5856 |
| 2587, 1952 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7761,5856 By Matching Biggest Common Factor Method
Now, list down the factors of 7761
:1,3,13,39,199,597,2587,7761
Now, list down the factors of 5856
:1,2,3,4,6,8,12,16,24,32,48,61,96,122,183,244,366,488,732,976,1464,1952,2928,5856
Greatest Common Factor
We found the factors 7761,5856 . The biggest common factor number is the GCF number.
So the greatest common factor 7761,5856 is 3.
Lets's calculate LCM of 360,7284
| 2 | 360, 7284 |
| 2 | 180, 3642 |
| 3 | 90, 1821 |
| 30, 607 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 30 x 607 = 218520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/218520
Therefore, the GCF of Fractions 7761/360,5856/7284 is 3/218520
Least Common Multiple of 360,7284 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 360,7284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,7284) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(360,7284) x common factors =12 x 1 = 12
LCM(360,7284) = ( 360 × 7284 ) / 12
LCM(360,7284) = 2622240 / 12
LCM(360,7284) = 218520
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FAQs on GCF of Fractions of 7761/360, 5856/7284
1. What is the HCF of 7761,5856?
The HCF of 7761,5856 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 7761/360, 5856/7284?
Answer: GCF of Numerators as per given numbers 7761/360, 5856/7284 is
GCF of Numerators i.e. for 7761,5856 is 3
LCM of denominators i.e. for 360,7284 is 218520.
Thus, GCF of Fractions is 3/218520.Finally, GCF of Fractions for 7761/360, 5856/7284 is 3/218520.