GCF of 4740/922, 5882/9742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4740/922, 5882/9742 i.e 2/4491062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4740/922, 5882/9742.
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 4740/922,5882/9742?
Given fractions are 4740/922,5882/9742
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 4740/922,5882/9742, numerators are 4740,5882
Denominators are 922,9742
The GCF of 4740,5882 is 2 .
LCM of 922,9742 is 4491062.
The greatest common factor of 4740/922,5882/9742 = [GCF of 4740,5882]/[LCM of 922,9742]= 2/4491062
Therefore, the GCF of 4740/922,5882/9742 is 2/4491062.
To find the highest common factor of 4740,5882, we have to find the factors of both numbers and list the highest common factor.
The factors of 4740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 79, 158, 237, 316, 395, 474, 790, 948, 1185, 1580, 2370, 4740
The factors of 5882 are 1, 2, 17, 34, 173, 346, 2941, 5882
The HCF of 4740,5882 is 2.
Lets's calculate GCF of 4740,5882
| 2 | 4740, 5882 |
| 2370, 2941 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4740,5882 By Matching Biggest Common Factor Method
Now, list down the factors of 4740
:1,2,3,4,5,6,10,12,15,20,30,60,79,158,237,316,395,474,790,948,1185,1580,2370,4740
Now, list down the factors of 5882
:1,2,17,34,173,346,2941,5882
Greatest Common Factor
We found the factors 4740,5882 . The biggest common factor number is the GCF number.
So the greatest common factor 4740,5882 is 2.
Lets's calculate LCM of 922,9742
| 2 | 922, 9742 |
| 461, 4871 |
∴ So the LCM of the given numbers is 2 x 461 x 4871 = 4491062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4491062
Therefore, the GCF of Fractions 4740/922,5882/9742 is 2/4491062
Least Common Multiple of 922,9742 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 922,9742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,9742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,9742) x common factors =2 x 1 = 2
LCM(922,9742) = ( 922 × 9742 ) / 2
LCM(922,9742) = 8982124 / 2
LCM(922,9742) = 4491062
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FAQs on GCF of Fractions of 4740/922, 5882/9742
1. What is the HCF of 4740,5882?
The HCF of 4740,5882 is 2
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 4740/922, 5882/9742?
Answer: GCF of Numerators as per given numbers 4740/922, 5882/9742 is
GCF of Numerators i.e. for 4740,5882 is 2
LCM of denominators i.e. for 922,9742 is 4491062.
Thus, GCF of Fractions is 2/4491062.Finally, GCF of Fractions for 4740/922, 5882/9742 is 2/4491062.