GCF of 4624/237, 1650/1787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4624/237, 1650/1787 i.e 2/423519 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4624/237, 1650/1787.
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 4624/237,1650/1787?
Given fractions are 4624/237,1650/1787
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 4624/237,1650/1787, numerators are 4624,1650
Denominators are 237,1787
The GCF of 4624,1650 is 2 .
LCM of 237,1787 is 423519.
The greatest common factor of 4624/237,1650/1787 = [GCF of 4624,1650]/[LCM of 237,1787]= 2/423519
Therefore, the GCF of 4624/237,1650/1787 is 2/423519.
To find the highest common factor of 4624,1650, we have to find the factors of both numbers and list the highest common factor.
The factors of 4624 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 289, 578, 1156, 2312, 4624
The factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650
The HCF of 4624,1650 is 2.
Lets's calculate GCF of 4624,1650
| 2 | 4624, 1650 |
| 2312, 825 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4624,1650 By Matching Biggest Common Factor Method
Now, list down the factors of 4624
:1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624
Now, list down the factors of 1650
:1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650
Greatest Common Factor
We found the factors 4624,1650 . The biggest common factor number is the GCF number.
So the greatest common factor 4624,1650 is 2.
Lets's calculate LCM of 237,1787
Given numbers has no common factors except 1. So, there LCM is their product i.e 423519
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/423519
Therefore, the GCF of Fractions 4624/237,1650/1787 is 2/423519
Least Common Multiple of 237,1787 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 237,1787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,1787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,1787) x common factors =1 x 1 = 1
LCM(237,1787) = ( 237 × 1787 ) / 1
LCM(237,1787) = 423519 / 1
LCM(237,1787) = 423519
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FAQs on GCF of Fractions of 4624/237, 1650/1787
1. What is the HCF of 4624,1650?
The HCF of 4624,1650 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 4624/237, 1650/1787?
Answer: GCF of Numerators as per given numbers 4624/237, 1650/1787 is
GCF of Numerators i.e. for 4624,1650 is 2
LCM of denominators i.e. for 237,1787 is 423519.
Thus, GCF of Fractions is 2/423519.Finally, GCF of Fractions for 4624/237, 1650/1787 is 2/423519.