GCF of 7650/214, 8726/203
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7650/214, 8726/203 i.e 2/43442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7650/214, 8726/203.
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 7650/214,8726/203?
Given fractions are 7650/214,8726/203
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 7650/214,8726/203, numerators are 7650,8726
Denominators are 214,203
The GCF of 7650,8726 is 2 .
LCM of 214,203 is 43442.
The greatest common factor of 7650/214,8726/203 = [GCF of 7650,8726]/[LCM of 214,203]= 2/43442
Therefore, the GCF of 7650/214,8726/203 is 2/43442.
To find the highest common factor of 7650,8726, we have to find the factors of both numbers and list the highest common factor.
The factors of 7650 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 150, 153, 170, 225, 255, 306, 425, 450, 510, 765, 850, 1275, 1530, 2550, 3825, 7650
The factors of 8726 are 1, 2, 4363, 8726
The HCF of 7650,8726 is 2.
Lets's calculate GCF of 7650,8726
| 2 | 7650, 8726 |
| 3825, 4363 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7650,8726 By Matching Biggest Common Factor Method
Now, list down the factors of 7650
:1,2,3,5,6,9,10,15,17,18,25,30,34,45,50,51,75,85,90,102,150,153,170,225,255,306,425,450,510,765,850,1275,1530,2550,3825,7650
Now, list down the factors of 8726
:1,2,4363,8726
Greatest Common Factor
We found the factors 7650,8726 . The biggest common factor number is the GCF number.
So the greatest common factor 7650,8726 is 2.
Lets's calculate LCM of 214,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 43442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43442
Therefore, the GCF of Fractions 7650/214,8726/203 is 2/43442
Least Common Multiple of 214,203 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 214,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,203) x common factors =1 x 1 = 1
LCM(214,203) = ( 214 × 203 ) / 1
LCM(214,203) = 43442 / 1
LCM(214,203) = 43442
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FAQs on GCF of Fractions of 7650/214, 8726/203
1. What is the HCF of 7650,8726?
The HCF of 7650,8726 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 7650/214, 8726/203?
Answer: GCF of Numerators as per given numbers 7650/214, 8726/203 is
GCF of Numerators i.e. for 7650,8726 is 2
LCM of denominators i.e. for 214,203 is 43442.
Thus, GCF of Fractions is 2/43442.Finally, GCF of Fractions for 7650/214, 8726/203 is 2/43442.