Use our free GCF of Fractions Calculator tool to compute the GCF of 77/645, 654/528, 501/865 i.e 1/19638960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/645, 654/528, 501/865.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/645,654/528,501/865
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 77/645,654/528,501/865, numerators are 77,654,501
Denominators are 645,528,865
The GCF of 77,654,501 is 1 .
LCM of 645,528,865 is 19638960.
The greatest common factor of 77/645,654/528,501/865 = [GCF of 77,654,501]/[LCM of 645,528,865]= 1/19638960
Therefore, the GCF of 77/645,654/528,501/865 is 1/19638960.
To find the highest common factor of 77,654,501, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654
The factors of 501 are 1, 3, 167, 501
The HCF of 77,654,501 is 1.
Lets's calculate GCF of 77,654,501
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 654
:1,2,3,6,109,218,327,654
Now, list down the factors of 501
:1,3,167,501
Greatest Common Factor
We found the factors 77,654,501 . The biggest common factor number is the GCF number.
So the greatest common factor 77,654,501 is 1.
Lets's calculate LCM of 645,528,865
3 | 645, 528, 865 |
5 | 215, 176, 865 |
43, 176, 173 |
∴ So the LCM of the given numbers is 3 x 5 x 43 x 176 x 173 = 19638960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19638960
Therefore, the GCF of Fractions 77/645,654/528,501/865 is 1/19638960
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 645,528,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,528,865) = 1
common factors(in case of two or more numbers have common factors) = 15
GCF(645,528,865) x common factors =1 x 15 = 15
LCM(645,528,865) = ( 645 × 528 × 865 ) / 15
LCM(645,528,865) = 294584400 / 15
LCM(645,528,865) = 19638960
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 77,654,501?
The HCF of 77,654,501 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 77/645, 654/528, 501/865?
Answer: GCF of Numerators as per given numbers 77/645, 654/528, 501/865 is
GCF of Numerators i.e. for 77,654,501 is 1
LCM of denominators i.e. for 645,528,865 is 19638960.
Thus, GCF of Fractions is 1/19638960.Finally, GCF of Fractions for 77/645, 654/528, 501/865 is 1/19638960.