GCF of 7774/870, 5400/5346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7774/870, 5400/5346 i.e 2/775170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7774/870, 5400/5346.
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 7774/870,5400/5346?
Given fractions are 7774/870,5400/5346
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 7774/870,5400/5346, numerators are 7774,5400
Denominators are 870,5346
The GCF of 7774,5400 is 2 .
LCM of 870,5346 is 775170.
The greatest common factor of 7774/870,5400/5346 = [GCF of 7774,5400]/[LCM of 870,5346]= 2/775170
Therefore, the GCF of 7774/870,5400/5346 is 2/775170.
To find the highest common factor of 7774,5400, we have to find the factors of both numbers and list the highest common factor.
The factors of 7774 are 1, 2, 13, 23, 26, 46, 169, 299, 338, 598, 3887, 7774
The factors of 5400 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 135, 150, 180, 200, 216, 225, 270, 300, 360, 450, 540, 600, 675, 900, 1080, 1350, 1800, 2700, 5400
The HCF of 7774,5400 is 2.
Lets's calculate GCF of 7774,5400
| 2 | 7774, 5400 |
| 3887, 2700 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7774,5400 By Matching Biggest Common Factor Method
Now, list down the factors of 7774
:1,2,13,23,26,46,169,299,338,598,3887,7774
Now, list down the factors of 5400
:1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,27,30,36,40,45,50,54,60,72,75,90,100,108,120,135,150,180,200,216,225,270,300,360,450,540,600,675,900,1080,1350,1800,2700,5400
Greatest Common Factor
We found the factors 7774,5400 . The biggest common factor number is the GCF number.
So the greatest common factor 7774,5400 is 2.
Lets's calculate LCM of 870,5346
| 2 | 870, 5346 |
| 3 | 435, 2673 |
| 145, 891 |
∴ So the LCM of the given numbers is 2 x 3 x 145 x 891 = 775170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/775170
Therefore, the GCF of Fractions 7774/870,5400/5346 is 2/775170
Least Common Multiple of 870,5346 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 870,5346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,5346) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(870,5346) x common factors =6 x 1 = 6
LCM(870,5346) = ( 870 × 5346 ) / 6
LCM(870,5346) = 4651020 / 6
LCM(870,5346) = 775170
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7774/870, 5400/5346
1. What is the HCF of 7774,5400?
The HCF of 7774,5400 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 7774/870, 5400/5346?
Answer: GCF of Numerators as per given numbers 7774/870, 5400/5346 is
GCF of Numerators i.e. for 7774,5400 is 2
LCM of denominators i.e. for 870,5346 is 775170.
Thus, GCF of Fractions is 2/775170.Finally, GCF of Fractions for 7774/870, 5400/5346 is 2/775170.