GCF of 7770/128, 5114/2205
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7770/128, 5114/2205 i.e 2/282240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7770/128, 5114/2205.
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 7770/128,5114/2205?
Given fractions are 7770/128,5114/2205
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 7770/128,5114/2205, numerators are 7770,5114
Denominators are 128,2205
The GCF of 7770,5114 is 2 .
LCM of 128,2205 is 282240.
The greatest common factor of 7770/128,5114/2205 = [GCF of 7770,5114]/[LCM of 128,2205]= 2/282240
Therefore, the GCF of 7770/128,5114/2205 is 2/282240.
To find the highest common factor of 7770,5114, we have to find the factors of both numbers and list the highest common factor.
The factors of 7770 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885, 7770
The factors of 5114 are 1, 2, 2557, 5114
The HCF of 7770,5114 is 2.
Lets's calculate GCF of 7770,5114
| 2 | 7770, 5114 |
| 3885, 2557 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7770,5114 By Matching Biggest Common Factor Method
Now, list down the factors of 7770
:1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770
Now, list down the factors of 5114
:1,2,2557,5114
Greatest Common Factor
We found the factors 7770,5114 . The biggest common factor number is the GCF number.
So the greatest common factor 7770,5114 is 2.
Lets's calculate LCM of 128,2205
Given numbers has no common factors except 1. So, there LCM is their product i.e 282240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/282240
Therefore, the GCF of Fractions 7770/128,5114/2205 is 2/282240
Least Common Multiple of 128,2205 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 128,2205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,2205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(128,2205) x common factors =1 x 1 = 1
LCM(128,2205) = ( 128 × 2205 ) / 1
LCM(128,2205) = 282240 / 1
LCM(128,2205) = 282240
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FAQs on GCF of Fractions of 7770/128, 5114/2205
1. What is the HCF of 7770,5114?
The HCF of 7770,5114 is 2
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 7770/128, 5114/2205?
Answer: GCF of Numerators as per given numbers 7770/128, 5114/2205 is
GCF of Numerators i.e. for 7770,5114 is 2
LCM of denominators i.e. for 128,2205 is 282240.
Thus, GCF of Fractions is 2/282240.Finally, GCF of Fractions for 7770/128, 5114/2205 is 2/282240.