GCF of 1950/907, 7384/8502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1950/907, 7384/8502 i.e 26/7711314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1950/907, 7384/8502.
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 1950/907,7384/8502?
Given fractions are 1950/907,7384/8502
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 1950/907,7384/8502, numerators are 1950,7384
Denominators are 907,8502
The GCF of 1950,7384 is 26 .
LCM of 907,8502 is 7711314.
The greatest common factor of 1950/907,7384/8502 = [GCF of 1950,7384]/[LCM of 907,8502]= 26/7711314
Therefore, the GCF of 1950/907,7384/8502 is 26/7711314.
To find the highest common factor of 1950,7384, we have to find the factors of both numbers and list the highest common factor.
The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950
The factors of 7384 are 1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384
The HCF of 1950,7384 is 26.
Lets's calculate GCF of 1950,7384
| 2 | 1950, 7384 |
| 13 | 975, 3692 |
| 75, 284 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 1950,7384 By Matching Biggest Common Factor Method
Now, list down the factors of 1950
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950
Now, list down the factors of 7384
:1,2,4,8,13,26,52,71,104,142,284,568,923,1846,3692,7384
Greatest Common Factor
We found the factors 1950,7384 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,7384 is 26.
Lets's calculate LCM of 907,8502
Given numbers has no common factors except 1. So, there LCM is their product i.e 7711314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/7711314
Therefore, the GCF of Fractions 1950/907,7384/8502 is 26/7711314
Least Common Multiple of 907,8502 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 907,8502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,8502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,8502) x common factors =1 x 1 = 1
LCM(907,8502) = ( 907 × 8502 ) / 1
LCM(907,8502) = 7711314 / 1
LCM(907,8502) = 7711314
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FAQs on GCF of Fractions of 1950/907, 7384/8502
1. What is the HCF of 1950,7384?
The HCF of 1950,7384 is 26
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 1950/907, 7384/8502?
Answer: GCF of Numerators as per given numbers 1950/907, 7384/8502 is
GCF of Numerators i.e. for 1950,7384 is 26
LCM of denominators i.e. for 907,8502 is 7711314.
Thus, GCF of Fractions is 26/7711314.Finally, GCF of Fractions for 1950/907, 7384/8502 is 26/7711314.