GCF of 7114/903, 8890/8552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7114/903, 8890/8552 i.e 2/7722456 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7114/903, 8890/8552.
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 7114/903,8890/8552?
Given fractions are 7114/903,8890/8552
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 7114/903,8890/8552, numerators are 7114,8890
Denominators are 903,8552
The GCF of 7114,8890 is 2 .
LCM of 903,8552 is 7722456.
The greatest common factor of 7114/903,8890/8552 = [GCF of 7114,8890]/[LCM of 903,8552]= 2/7722456
Therefore, the GCF of 7114/903,8890/8552 is 2/7722456.
To find the highest common factor of 7114,8890, we have to find the factors of both numbers and list the highest common factor.
The factors of 7114 are 1, 2, 3557, 7114
The factors of 8890 are 1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890
The HCF of 7114,8890 is 2.
Lets's calculate GCF of 7114,8890
| 2 | 7114, 8890 |
| 3557, 4445 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7114,8890 By Matching Biggest Common Factor Method
Now, list down the factors of 7114
:1,2,3557,7114
Now, list down the factors of 8890
:1,2,5,7,10,14,35,70,127,254,635,889,1270,1778,4445,8890
Greatest Common Factor
We found the factors 7114,8890 . The biggest common factor number is the GCF number.
So the greatest common factor 7114,8890 is 2.
Lets's calculate LCM of 903,8552
Given numbers has no common factors except 1. So, there LCM is their product i.e 7722456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7722456
Therefore, the GCF of Fractions 7114/903,8890/8552 is 2/7722456
Least Common Multiple of 903,8552 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 903,8552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,8552) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(903,8552) x common factors =1 x 1 = 1
LCM(903,8552) = ( 903 × 8552 ) / 1
LCM(903,8552) = 7722456 / 1
LCM(903,8552) = 7722456
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FAQs on GCF of Fractions of 7114/903, 8890/8552
1. What is the HCF of 7114,8890?
The HCF of 7114,8890 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 7114/903, 8890/8552?
Answer: GCF of Numerators as per given numbers 7114/903, 8890/8552 is
GCF of Numerators i.e. for 7114,8890 is 2
LCM of denominators i.e. for 903,8552 is 7722456.
Thus, GCF of Fractions is 2/7722456.Finally, GCF of Fractions for 7114/903, 8890/8552 is 2/7722456.