GCF of 777/47, 784/7565
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 777/47, 784/7565 i.e 7/355555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 777/47, 784/7565.
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 777/47,784/7565?
Given fractions are 777/47,784/7565
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 777/47,784/7565, numerators are 777,784
Denominators are 47,7565
The GCF of 777,784 is 7 .
LCM of 47,7565 is 355555.
The greatest common factor of 777/47,784/7565 = [GCF of 777,784]/[LCM of 47,7565]= 7/355555
Therefore, the GCF of 777/47,784/7565 is 7/355555.
To find the highest common factor of 777,784, 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 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The HCF of 777,784 is 7.
Lets's calculate GCF of 777,784
| 7 | 777, 784 |
| 111, 112 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 777,784 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 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 777,784 . The biggest common factor number is the GCF number.
So the greatest common factor 777,784 is 7.
Lets's calculate LCM of 47,7565
Given numbers has no common factors except 1. So, there LCM is their product i.e 355555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/355555
Therefore, the GCF of Fractions 777/47,784/7565 is 7/355555
Least Common Multiple of 47,7565 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 47,7565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,7565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,7565) x common factors =1 x 1 = 1
LCM(47,7565) = ( 47 × 7565 ) / 1
LCM(47,7565) = 355555 / 1
LCM(47,7565) = 355555
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 777/47, 784/7565
1. What is the HCF of 777,784?
The HCF of 777,784 is 7
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 777/47, 784/7565?
Answer: GCF of Numerators as per given numbers 777/47, 784/7565 is
GCF of Numerators i.e. for 777,784 is 7
LCM of denominators i.e. for 47,7565 is 355555.
Thus, GCF of Fractions is 7/355555.Finally, GCF of Fractions for 777/47, 784/7565 is 7/355555.