GCF of 7800/906, 6974/1735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7800/906, 6974/1735 i.e 2/1571910 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7800/906, 6974/1735.
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 7800/906,6974/1735?
Given fractions are 7800/906,6974/1735
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 7800/906,6974/1735, numerators are 7800,6974
Denominators are 906,1735
The GCF of 7800,6974 is 2 .
LCM of 906,1735 is 1571910.
The greatest common factor of 7800/906,6974/1735 = [GCF of 7800,6974]/[LCM of 906,1735]= 2/1571910
Therefore, the GCF of 7800/906,6974/1735 is 2/1571910.
To find the highest common factor of 7800,6974, we have to find the factors of both numbers and list the highest common factor.
The factors of 7800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 25, 26, 30, 39, 40, 50, 52, 60, 65, 75, 78, 100, 104, 120, 130, 150, 156, 195, 200, 260, 300, 312, 325, 390, 520, 600, 650, 780, 975, 1300, 1560, 1950, 2600, 3900, 7800
The factors of 6974 are 1, 2, 11, 22, 317, 634, 3487, 6974
The HCF of 7800,6974 is 2.
Lets's calculate GCF of 7800,6974
| 2 | 7800, 6974 |
| 3900, 3487 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7800,6974 By Matching Biggest Common Factor Method
Now, list down the factors of 7800
:1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800
Now, list down the factors of 6974
:1,2,11,22,317,634,3487,6974
Greatest Common Factor
We found the factors 7800,6974 . The biggest common factor number is the GCF number.
So the greatest common factor 7800,6974 is 2.
Lets's calculate LCM of 906,1735
Given numbers has no common factors except 1. So, there LCM is their product i.e 1571910
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1571910
Therefore, the GCF of Fractions 7800/906,6974/1735 is 2/1571910
Least Common Multiple of 906,1735 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 906,1735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(906,1735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(906,1735) x common factors =1 x 1 = 1
LCM(906,1735) = ( 906 × 1735 ) / 1
LCM(906,1735) = 1571910 / 1
LCM(906,1735) = 1571910
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FAQs on GCF of Fractions of 7800/906, 6974/1735
1. What is the HCF of 7800,6974?
The HCF of 7800,6974 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 7800/906, 6974/1735?
Answer: GCF of Numerators as per given numbers 7800/906, 6974/1735 is
GCF of Numerators i.e. for 7800,6974 is 2
LCM of denominators i.e. for 906,1735 is 1571910.
Thus, GCF of Fractions is 2/1571910.Finally, GCF of Fractions for 7800/906, 6974/1735 is 2/1571910.