GCF of 2220/705, 7757/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2220/705, 7757/789 i.e 1/185415 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2220/705, 7757/789.
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 2220/705,7757/789?
Given fractions are 2220/705,7757/789
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 2220/705,7757/789, numerators are 2220,7757
Denominators are 705,789
The GCF of 2220,7757 is 1 .
LCM of 705,789 is 185415.
The greatest common factor of 2220/705,7757/789 = [GCF of 2220,7757]/[LCM of 705,789]= 1/185415
Therefore, the GCF of 2220/705,7757/789 is 1/185415.
To find the highest common factor of 2220,7757, we have to find the factors of both numbers and list the highest common factor.
The factors of 2220 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 37, 60, 74, 111, 148, 185, 222, 370, 444, 555, 740, 1110, 2220
The factors of 7757 are 1, 7757
The HCF of 2220,7757 is 1.
Lets's calculate GCF of 2220,7757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2220,7757 By Matching Biggest Common Factor Method
Now, list down the factors of 2220
:1,2,3,4,5,6,10,12,15,20,30,37,60,74,111,148,185,222,370,444,555,740,1110,2220
Now, list down the factors of 7757
:1,7757
Greatest Common Factor
We found the factors 2220,7757 . The biggest common factor number is the GCF number.
So the greatest common factor 2220,7757 is 1.
Lets's calculate LCM of 705,789
| 3 | 705, 789 |
| 235, 263 |
∴ So the LCM of the given numbers is 3 x 235 x 263 = 185415
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185415
Therefore, the GCF of Fractions 2220/705,7757/789 is 1/185415
Least Common Multiple of 705,789 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 705,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,789) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(705,789) x common factors =3 x 1 = 3
LCM(705,789) = ( 705 × 789 ) / 3
LCM(705,789) = 556245 / 3
LCM(705,789) = 185415
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FAQs on GCF of Fractions of 2220/705, 7757/789
1. What is the HCF of 2220,7757?
The HCF of 2220,7757 is 1
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 2220/705, 7757/789?
Answer: GCF of Numerators as per given numbers 2220/705, 7757/789 is
GCF of Numerators i.e. for 2220,7757 is 1
LCM of denominators i.e. for 705,789 is 185415.
Thus, GCF of Fractions is 1/185415.Finally, GCF of Fractions for 2220/705, 7757/789 is 1/185415.