GCF of 7770/117, 1776/9019
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7770/117, 1776/9019 i.e 222/1055223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7770/117, 1776/9019.
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 7770/117,1776/9019?
Given fractions are 7770/117,1776/9019
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 7770/117,1776/9019, numerators are 7770,1776
Denominators are 117,9019
The GCF of 7770,1776 is 222 .
LCM of 117,9019 is 1055223.
The greatest common factor of 7770/117,1776/9019 = [GCF of 7770,1776]/[LCM of 117,9019]= 222/1055223
Therefore, the GCF of 7770/117,1776/9019 is 222/1055223.
To find the highest common factor of 7770,1776, 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 1776 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 37, 48, 74, 111, 148, 222, 296, 444, 592, 888, 1776
The HCF of 7770,1776 is 222.
Lets's calculate GCF of 7770,1776
| 2 | 7770, 1776 |
| 3 | 3885, 888 |
| 37 | 1295, 296 |
| 35, 8 |
∴ So the GCF of the given numbers is 2 x 3 x 37 = 222
Greatest Common Factor of 7770,1776 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 1776
:1,2,3,4,6,8,12,16,24,37,48,74,111,148,222,296,444,592,888,1776
Greatest Common Factor
We found the factors 7770,1776 . The biggest common factor number is the GCF number.
So the greatest common factor 7770,1776 is 222.
Lets's calculate LCM of 117,9019
Given numbers has no common factors except 1. So, there LCM is their product i.e 1055223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 222/1055223
Therefore, the GCF of Fractions 7770/117,1776/9019 is 222/1055223
Least Common Multiple of 117,9019 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 117,9019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,9019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(117,9019) x common factors =1 x 1 = 1
LCM(117,9019) = ( 117 × 9019 ) / 1
LCM(117,9019) = 1055223 / 1
LCM(117,9019) = 1055223
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FAQs on GCF of Fractions of 7770/117, 1776/9019
1. What is the HCF of 7770,1776?
The HCF of 7770,1776 is 222
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 7770/117, 1776/9019?
Answer: GCF of Numerators as per given numbers 7770/117, 1776/9019 is
GCF of Numerators i.e. for 7770,1776 is 222
LCM of denominators i.e. for 117,9019 is 1055223.
Thus, GCF of Fractions is 222/1055223.Finally, GCF of Fractions for 7770/117, 1776/9019 is 222/1055223.