GCF of 1976/769, 4500/6182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1976/769, 4500/6182 i.e 4/4753958 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1976/769, 4500/6182.
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 1976/769,4500/6182?
Given fractions are 1976/769,4500/6182
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 1976/769,4500/6182, numerators are 1976,4500
Denominators are 769,6182
The GCF of 1976,4500 is 4 .
LCM of 769,6182 is 4753958.
The greatest common factor of 1976/769,4500/6182 = [GCF of 1976,4500]/[LCM of 769,6182]= 4/4753958
Therefore, the GCF of 1976/769,4500/6182 is 4/4753958.
To find the highest common factor of 1976,4500, we have to find the factors of both numbers and list the highest common factor.
The factors of 1976 are 1, 2, 4, 8, 13, 19, 26, 38, 52, 76, 104, 152, 247, 494, 988, 1976
The factors of 4500 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 125, 150, 180, 225, 250, 300, 375, 450, 500, 750, 900, 1125, 1500, 2250, 4500
The HCF of 1976,4500 is 4.
Lets's calculate GCF of 1976,4500
| 2 | 1976, 4500 |
| 2 | 988, 2250 |
| 494, 1125 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1976,4500 By Matching Biggest Common Factor Method
Now, list down the factors of 1976
:1,2,4,8,13,19,26,38,52,76,104,152,247,494,988,1976
Now, list down the factors of 4500
:1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,125,150,180,225,250,300,375,450,500,750,900,1125,1500,2250,4500
Greatest Common Factor
We found the factors 1976,4500 . The biggest common factor number is the GCF number.
So the greatest common factor 1976,4500 is 4.
Lets's calculate LCM of 769,6182
Given numbers has no common factors except 1. So, there LCM is their product i.e 4753958
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4753958
Therefore, the GCF of Fractions 1976/769,4500/6182 is 4/4753958
Least Common Multiple of 769,6182 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 769,6182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,6182) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,6182) x common factors =1 x 1 = 1
LCM(769,6182) = ( 769 × 6182 ) / 1
LCM(769,6182) = 4753958 / 1
LCM(769,6182) = 4753958
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FAQs on GCF of Fractions of 1976/769, 4500/6182
1. What is the HCF of 1976,4500?
The HCF of 1976,4500 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 1976/769, 4500/6182?
Answer: GCF of Numerators as per given numbers 1976/769, 4500/6182 is
GCF of Numerators i.e. for 1976,4500 is 4
LCM of denominators i.e. for 769,6182 is 4753958.
Thus, GCF of Fractions is 4/4753958.Finally, GCF of Fractions for 1976/769, 4500/6182 is 4/4753958.