GCF of 7062/783, 5312/9201
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7062/783, 5312/9201 i.e 2/2401461 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7062/783, 5312/9201.
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 7062/783,5312/9201?
Given fractions are 7062/783,5312/9201
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 7062/783,5312/9201, numerators are 7062,5312
Denominators are 783,9201
The GCF of 7062,5312 is 2 .
LCM of 783,9201 is 2401461.
The greatest common factor of 7062/783,5312/9201 = [GCF of 7062,5312]/[LCM of 783,9201]= 2/2401461
Therefore, the GCF of 7062/783,5312/9201 is 2/2401461.
To find the highest common factor of 7062,5312, we have to find the factors of both numbers and list the highest common factor.
The factors of 7062 are 1, 2, 3, 6, 11, 22, 33, 66, 107, 214, 321, 642, 1177, 2354, 3531, 7062
The factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312
The HCF of 7062,5312 is 2.
Lets's calculate GCF of 7062,5312
| 2 | 7062, 5312 |
| 3531, 2656 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7062,5312 By Matching Biggest Common Factor Method
Now, list down the factors of 7062
:1,2,3,6,11,22,33,66,107,214,321,642,1177,2354,3531,7062
Now, list down the factors of 5312
:1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312
Greatest Common Factor
We found the factors 7062,5312 . The biggest common factor number is the GCF number.
So the greatest common factor 7062,5312 is 2.
Lets's calculate LCM of 783,9201
| 3 | 783, 9201 |
| 261, 3067 |
∴ So the LCM of the given numbers is 3 x 261 x 3067 = 2401461
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2401461
Therefore, the GCF of Fractions 7062/783,5312/9201 is 2/2401461
Least Common Multiple of 783,9201 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 783,9201 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,9201) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,9201) x common factors =3 x 1 = 3
LCM(783,9201) = ( 783 × 9201 ) / 3
LCM(783,9201) = 7204383 / 3
LCM(783,9201) = 2401461
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FAQs on GCF of Fractions of 7062/783, 5312/9201
1. What is the HCF of 7062,5312?
The HCF of 7062,5312 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 7062/783, 5312/9201?
Answer: GCF of Numerators as per given numbers 7062/783, 5312/9201 is
GCF of Numerators i.e. for 7062,5312 is 2
LCM of denominators i.e. for 783,9201 is 2401461.
Thus, GCF of Fractions is 2/2401461.Finally, GCF of Fractions for 7062/783, 5312/9201 is 2/2401461.