GCF of 7692/900, 4138/9890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7692/900, 4138/9890 i.e 2/890100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7692/900, 4138/9890.
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 7692/900,4138/9890?
Given fractions are 7692/900,4138/9890
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 7692/900,4138/9890, numerators are 7692,4138
Denominators are 900,9890
The GCF of 7692,4138 is 2 .
LCM of 900,9890 is 890100.
The greatest common factor of 7692/900,4138/9890 = [GCF of 7692,4138]/[LCM of 900,9890]= 2/890100
Therefore, the GCF of 7692/900,4138/9890 is 2/890100.
To find the highest common factor of 7692,4138, we have to find the factors of both numbers and list the highest common factor.
The factors of 7692 are 1, 2, 3, 4, 6, 12, 641, 1282, 1923, 2564, 3846, 7692
The factors of 4138 are 1, 2, 2069, 4138
The HCF of 7692,4138 is 2.
Lets's calculate GCF of 7692,4138
| 2 | 7692, 4138 |
| 3846, 2069 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7692,4138 By Matching Biggest Common Factor Method
Now, list down the factors of 7692
:1,2,3,4,6,12,641,1282,1923,2564,3846,7692
Now, list down the factors of 4138
:1,2,2069,4138
Greatest Common Factor
We found the factors 7692,4138 . The biggest common factor number is the GCF number.
So the greatest common factor 7692,4138 is 2.
Lets's calculate LCM of 900,9890
| 2 | 900, 9890 |
| 5 | 450, 4945 |
| 90, 989 |
∴ So the LCM of the given numbers is 2 x 5 x 90 x 989 = 890100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/890100
Therefore, the GCF of Fractions 7692/900,4138/9890 is 2/890100
Least Common Multiple of 900,9890 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 900,9890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,9890) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(900,9890) x common factors =10 x 1 = 10
LCM(900,9890) = ( 900 × 9890 ) / 10
LCM(900,9890) = 8901000 / 10
LCM(900,9890) = 890100
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FAQs on GCF of Fractions of 7692/900, 4138/9890
1. What is the HCF of 7692,4138?
The HCF of 7692,4138 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 7692/900, 4138/9890?
Answer: GCF of Numerators as per given numbers 7692/900, 4138/9890 is
GCF of Numerators i.e. for 7692,4138 is 2
LCM of denominators i.e. for 900,9890 is 890100.
Thus, GCF of Fractions is 2/890100.Finally, GCF of Fractions for 7692/900, 4138/9890 is 2/890100.