GCF of 1754/769, 3900/7802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1754/769, 3900/7802 i.e 2/5999738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1754/769, 3900/7802.
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 1754/769,3900/7802?
Given fractions are 1754/769,3900/7802
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 1754/769,3900/7802, numerators are 1754,3900
Denominators are 769,7802
The GCF of 1754,3900 is 2 .
LCM of 769,7802 is 5999738.
The greatest common factor of 1754/769,3900/7802 = [GCF of 1754,3900]/[LCM of 769,7802]= 2/5999738
Therefore, the GCF of 1754/769,3900/7802 is 2/5999738.
To find the highest common factor of 1754,3900, we have to find the factors of both numbers and list the highest common factor.
The factors of 1754 are 1, 2, 877, 1754
The factors of 3900 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 25, 26, 30, 39, 50, 52, 60, 65, 75, 78, 100, 130, 150, 156, 195, 260, 300, 325, 390, 650, 780, 975, 1300, 1950, 3900
The HCF of 1754,3900 is 2.
Lets's calculate GCF of 1754,3900
| 2 | 1754, 3900 |
| 877, 1950 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1754,3900 By Matching Biggest Common Factor Method
Now, list down the factors of 1754
:1,2,877,1754
Now, list down the factors of 3900
:1,2,3,4,5,6,10,12,13,15,20,25,26,30,39,50,52,60,65,75,78,100,130,150,156,195,260,300,325,390,650,780,975,1300,1950,3900
Greatest Common Factor
We found the factors 1754,3900 . The biggest common factor number is the GCF number.
So the greatest common factor 1754,3900 is 2.
Lets's calculate LCM of 769,7802
Given numbers has no common factors except 1. So, there LCM is their product i.e 5999738
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5999738
Therefore, the GCF of Fractions 1754/769,3900/7802 is 2/5999738
Least Common Multiple of 769,7802 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 769,7802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(769,7802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(769,7802) x common factors =1 x 1 = 1
LCM(769,7802) = ( 769 × 7802 ) / 1
LCM(769,7802) = 5999738 / 1
LCM(769,7802) = 5999738
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FAQs on GCF of Fractions of 1754/769, 3900/7802
1. What is the HCF of 1754,3900?
The HCF of 1754,3900 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 1754/769, 3900/7802?
Answer: GCF of Numerators as per given numbers 1754/769, 3900/7802 is
GCF of Numerators i.e. for 1754,3900 is 2
LCM of denominators i.e. for 769,7802 is 5999738.
Thus, GCF of Fractions is 2/5999738.Finally, GCF of Fractions for 1754/769, 3900/7802 is 2/5999738.