Use our free GCF of Fractions Calculator tool to compute the GCF of 97/460, 626/727, 669/402 i.e 1/67218420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 97/460, 626/727, 669/402.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 97/460,626/727,669/402
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 97/460,626/727,669/402, numerators are 97,626,669
Denominators are 460,727,402
The GCF of 97,626,669 is 1 .
LCM of 460,727,402 is 67218420.
The greatest common factor of 97/460,626/727,669/402 = [GCF of 97,626,669]/[LCM of 460,727,402]= 1/67218420
Therefore, the GCF of 97/460,626/727,669/402 is 1/67218420.
To find the highest common factor of 97,626,669, we have to find the factors of both numbers and list the highest common factor.
The factors of 97 are 1, 97
The factors of 626 are 1, 2, 313, 626
The factors of 669 are 1, 3, 223, 669
The HCF of 97,626,669 is 1.
Lets's calculate GCF of 97,626,669
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 97
:1,97
Now, list down the factors of 626
:1,2,313,626
Now, list down the factors of 669
:1,3,223,669
Greatest Common Factor
We found the factors 97,626,669 . The biggest common factor number is the GCF number.
So the greatest common factor 97,626,669 is 1.
Lets's calculate LCM of 460,727,402
2 | 460, 727, 402 |
230, 727, 201 |
∴ So the LCM of the given numbers is 2 x 230 x 727 x 201 = 67218420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67218420
Therefore, the GCF of Fractions 97/460,626/727,669/402 is 1/67218420
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 460,727,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,727,402) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(460,727,402) x common factors =1 x 2 = 2
LCM(460,727,402) = ( 460 × 727 × 402 ) / 2
LCM(460,727,402) = 134436840 / 2
LCM(460,727,402) = 67218420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 97,626,669?
The HCF of 97,626,669 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 97/460, 626/727, 669/402?
Answer: GCF of Numerators as per given numbers 97/460, 626/727, 669/402 is
GCF of Numerators i.e. for 97,626,669 is 1
LCM of denominators i.e. for 460,727,402 is 67218420.
Thus, GCF of Fractions is 1/67218420.Finally, GCF of Fractions for 97/460, 626/727, 669/402 is 1/67218420.