GCF of 4920/491, 2922/1552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4920/491, 2922/1552 i.e 6/762032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4920/491, 2922/1552.
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 4920/491,2922/1552?
Given fractions are 4920/491,2922/1552
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 4920/491,2922/1552, numerators are 4920,2922
Denominators are 491,1552
The GCF of 4920,2922 is 6 .
LCM of 491,1552 is 762032.
The greatest common factor of 4920/491,2922/1552 = [GCF of 4920,2922]/[LCM of 491,1552]= 6/762032
Therefore, the GCF of 4920/491,2922/1552 is 6/762032.
To find the highest common factor of 4920,2922, we have to find the factors of both numbers and list the highest common factor.
The factors of 4920 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920
The factors of 2922 are 1, 2, 3, 6, 487, 974, 1461, 2922
The HCF of 4920,2922 is 6.
Lets's calculate GCF of 4920,2922
| 2 | 4920, 2922 |
| 3 | 2460, 1461 |
| 820, 487 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4920,2922 By Matching Biggest Common Factor Method
Now, list down the factors of 4920
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,41,60,82,120,123,164,205,246,328,410,492,615,820,984,1230,1640,2460,4920
Now, list down the factors of 2922
:1,2,3,6,487,974,1461,2922
Greatest Common Factor
We found the factors 4920,2922 . The biggest common factor number is the GCF number.
So the greatest common factor 4920,2922 is 6.
Lets's calculate LCM of 491,1552
Given numbers has no common factors except 1. So, there LCM is their product i.e 762032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/762032
Therefore, the GCF of Fractions 4920/491,2922/1552 is 6/762032
Least Common Multiple of 491,1552 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 491,1552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,1552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,1552) x common factors =1 x 1 = 1
LCM(491,1552) = ( 491 × 1552 ) / 1
LCM(491,1552) = 762032 / 1
LCM(491,1552) = 762032
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FAQs on GCF of Fractions of 4920/491, 2922/1552
1. What is the HCF of 4920,2922?
The HCF of 4920,2922 is 6
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 4920/491, 2922/1552?
Answer: GCF of Numerators as per given numbers 4920/491, 2922/1552 is
GCF of Numerators i.e. for 4920,2922 is 6
LCM of denominators i.e. for 491,1552 is 762032.
Thus, GCF of Fractions is 6/762032.Finally, GCF of Fractions for 4920/491, 2922/1552 is 6/762032.