GCF of 904/414, 9780/7646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 904/414, 9780/7646 i.e 4/1582722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 904/414, 9780/7646.
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 904/414,9780/7646?
Given fractions are 904/414,9780/7646
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 904/414,9780/7646, numerators are 904,9780
Denominators are 414,7646
The GCF of 904,9780 is 4 .
LCM of 414,7646 is 1582722.
The greatest common factor of 904/414,9780/7646 = [GCF of 904,9780]/[LCM of 414,7646]= 4/1582722
Therefore, the GCF of 904/414,9780/7646 is 4/1582722.
To find the highest common factor of 904,9780, we have to find the factors of both numbers and list the highest common factor.
The factors of 904 are 1, 2, 4, 8, 113, 226, 452, 904
The factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780
The HCF of 904,9780 is 4.
Lets's calculate GCF of 904,9780
| 2 | 904, 9780 |
| 2 | 452, 4890 |
| 226, 2445 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 904,9780 By Matching Biggest Common Factor Method
Now, list down the factors of 904
:1,2,4,8,113,226,452,904
Now, list down the factors of 9780
:1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780
Greatest Common Factor
We found the factors 904,9780 . The biggest common factor number is the GCF number.
So the greatest common factor 904,9780 is 4.
Lets's calculate LCM of 414,7646
| 2 | 414, 7646 |
| 207, 3823 |
∴ So the LCM of the given numbers is 2 x 207 x 3823 = 1582722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1582722
Therefore, the GCF of Fractions 904/414,9780/7646 is 4/1582722
Least Common Multiple of 414,7646 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 414,7646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,7646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(414,7646) x common factors =2 x 1 = 2
LCM(414,7646) = ( 414 × 7646 ) / 2
LCM(414,7646) = 3165444 / 2
LCM(414,7646) = 1582722
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 904/414, 9780/7646
1. What is the HCF of 904,9780?
The HCF of 904,9780 is 4
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 904/414, 9780/7646?
Answer: GCF of Numerators as per given numbers 904/414, 9780/7646 is
GCF of Numerators i.e. for 904,9780 is 4
LCM of denominators i.e. for 414,7646 is 1582722.
Thus, GCF of Fractions is 4/1582722.Finally, GCF of Fractions for 904/414, 9780/7646 is 4/1582722.