GCF of 4742/174, 2340/8522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4742/174, 2340/8522 i.e 2/741414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4742/174, 2340/8522.
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 4742/174,2340/8522?
Given fractions are 4742/174,2340/8522
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 4742/174,2340/8522, numerators are 4742,2340
Denominators are 174,8522
The GCF of 4742,2340 is 2 .
LCM of 174,8522 is 741414.
The greatest common factor of 4742/174,2340/8522 = [GCF of 4742,2340]/[LCM of 174,8522]= 2/741414
Therefore, the GCF of 4742/174,2340/8522 is 2/741414.
To find the highest common factor of 4742,2340, we have to find the factors of both numbers and list the highest common factor.
The factors of 4742 are 1, 2, 2371, 4742
The factors of 2340 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170, 2340
The HCF of 4742,2340 is 2.
Lets's calculate GCF of 4742,2340
| 2 | 4742, 2340 |
| 2371, 1170 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4742,2340 By Matching Biggest Common Factor Method
Now, list down the factors of 4742
:1,2,2371,4742
Now, list down the factors of 2340
:1,2,3,4,5,6,9,10,12,13,15,18,20,26,30,36,39,45,52,60,65,78,90,117,130,156,180,195,234,260,390,468,585,780,1170,2340
Greatest Common Factor
We found the factors 4742,2340 . The biggest common factor number is the GCF number.
So the greatest common factor 4742,2340 is 2.
Lets's calculate LCM of 174,8522
| 2 | 174, 8522 |
| 87, 4261 |
∴ So the LCM of the given numbers is 2 x 87 x 4261 = 741414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/741414
Therefore, the GCF of Fractions 4742/174,2340/8522 is 2/741414
Least Common Multiple of 174,8522 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 174,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,8522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,8522) x common factors =2 x 1 = 2
LCM(174,8522) = ( 174 × 8522 ) / 2
LCM(174,8522) = 1482828 / 2
LCM(174,8522) = 741414
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FAQs on GCF of Fractions of 4742/174, 2340/8522
1. What is the HCF of 4742,2340?
The HCF of 4742,2340 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 4742/174, 2340/8522?
Answer: GCF of Numerators as per given numbers 4742/174, 2340/8522 is
GCF of Numerators i.e. for 4742,2340 is 2
LCM of denominators i.e. for 174,8522 is 741414.
Thus, GCF of Fractions is 2/741414.Finally, GCF of Fractions for 4742/174, 2340/8522 is 2/741414.