GCF of 777/207, 930/637
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 777/207, 930/637 i.e 3/131859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 777/207, 930/637.
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 777/207,930/637?
Given fractions are 777/207,930/637
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 777/207,930/637, numerators are 777,930
Denominators are 207,637
The GCF of 777,930 is 3 .
LCM of 207,637 is 131859.
The greatest common factor of 777/207,930/637 = [GCF of 777,930]/[LCM of 207,637]= 3/131859
Therefore, the GCF of 777/207,930/637 is 3/131859.
To find the highest common factor of 777,930, we have to find the factors of both numbers and list the highest common factor.
The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777
The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
The HCF of 777,930 is 3.
Lets's calculate GCF of 777,930
| 3 | 777, 930 |
| 259, 310 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 777,930 By Matching Biggest Common Factor Method
Now, list down the factors of 777
:1,3,7,21,37,111,259,777
Now, list down the factors of 930
:1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 777,930 . The biggest common factor number is the GCF number.
So the greatest common factor 777,930 is 3.
Lets's calculate LCM of 207,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 131859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/131859
Therefore, the GCF of Fractions 777/207,930/637 is 3/131859
Least Common Multiple of 207,637 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 207,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,637) x common factors =1 x 1 = 1
LCM(207,637) = ( 207 × 637 ) / 1
LCM(207,637) = 131859 / 1
LCM(207,637) = 131859
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FAQs on GCF of Fractions of 777/207, 930/637
1. What is the HCF of 777,930?
The HCF of 777,930 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 777/207, 930/637?
Answer: GCF of Numerators as per given numbers 777/207, 930/637 is
GCF of Numerators i.e. for 777,930 is 3
LCM of denominators i.e. for 207,637 is 131859.
Thus, GCF of Fractions is 3/131859.Finally, GCF of Fractions for 777/207, 930/637 is 3/131859.