GCF of 2834/370, 9750/9922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2834/370, 9750/9922 i.e 26/1835570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2834/370, 9750/9922.
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 2834/370,9750/9922?
Given fractions are 2834/370,9750/9922
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 2834/370,9750/9922, numerators are 2834,9750
Denominators are 370,9922
The GCF of 2834,9750 is 26 .
LCM of 370,9922 is 1835570.
The greatest common factor of 2834/370,9750/9922 = [GCF of 2834,9750]/[LCM of 370,9922]= 26/1835570
Therefore, the GCF of 2834/370,9750/9922 is 26/1835570.
To find the highest common factor of 2834,9750, we have to find the factors of both numbers and list the highest common factor.
The factors of 2834 are 1, 2, 13, 26, 109, 218, 1417, 2834
The factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750
The HCF of 2834,9750 is 26.
Lets's calculate GCF of 2834,9750
| 2 | 2834, 9750 |
| 13 | 1417, 4875 |
| 109, 375 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 2834,9750 By Matching Biggest Common Factor Method
Now, list down the factors of 2834
:1,2,13,26,109,218,1417,2834
Now, list down the factors of 9750
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750
Greatest Common Factor
We found the factors 2834,9750 . The biggest common factor number is the GCF number.
So the greatest common factor 2834,9750 is 26.
Lets's calculate LCM of 370,9922
| 2 | 370, 9922 |
| 185, 4961 |
∴ So the LCM of the given numbers is 2 x 185 x 4961 = 1835570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/1835570
Therefore, the GCF of Fractions 2834/370,9750/9922 is 26/1835570
Least Common Multiple of 370,9922 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 370,9922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,9922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,9922) x common factors =2 x 1 = 2
LCM(370,9922) = ( 370 × 9922 ) / 2
LCM(370,9922) = 3671140 / 2
LCM(370,9922) = 1835570
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FAQs on GCF of Fractions of 2834/370, 9750/9922
1. What is the HCF of 2834,9750?
The HCF of 2834,9750 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 2834/370, 9750/9922?
Answer: GCF of Numerators as per given numbers 2834/370, 9750/9922 is
GCF of Numerators i.e. for 2834,9750 is 26
LCM of denominators i.e. for 370,9922 is 1835570.
Thus, GCF of Fractions is 26/1835570.Finally, GCF of Fractions for 2834/370, 9750/9922 is 26/1835570.