GCF of 1288/752, 9234/636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1288/752, 9234/636 i.e 2/119568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1288/752, 9234/636.
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 1288/752,9234/636?
Given fractions are 1288/752,9234/636
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 1288/752,9234/636, numerators are 1288,9234
Denominators are 752,636
The GCF of 1288,9234 is 2 .
LCM of 752,636 is 119568.
The greatest common factor of 1288/752,9234/636 = [GCF of 1288,9234]/[LCM of 752,636]= 2/119568
Therefore, the GCF of 1288/752,9234/636 is 2/119568.
To find the highest common factor of 1288,9234, we have to find the factors of both numbers and list the highest common factor.
The factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288
The factors of 9234 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617, 9234
The HCF of 1288,9234 is 2.
Lets's calculate GCF of 1288,9234
| 2 | 1288, 9234 |
| 644, 4617 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1288,9234 By Matching Biggest Common Factor Method
Now, list down the factors of 1288
:1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288
Now, list down the factors of 9234
:1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234
Greatest Common Factor
We found the factors 1288,9234 . The biggest common factor number is the GCF number.
So the greatest common factor 1288,9234 is 2.
Lets's calculate LCM of 752,636
| 2 | 752, 636 |
| 2 | 376, 318 |
| 188, 159 |
∴ So the LCM of the given numbers is 2 x 2 x 188 x 159 = 119568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/119568
Therefore, the GCF of Fractions 1288/752,9234/636 is 2/119568
Least Common Multiple of 752,636 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 752,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(752,636) x common factors =4 x 1 = 4
LCM(752,636) = ( 752 × 636 ) / 4
LCM(752,636) = 478272 / 4
LCM(752,636) = 119568
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FAQs on GCF of Fractions of 1288/752, 9234/636
1. What is the HCF of 1288,9234?
The HCF of 1288,9234 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 1288/752, 9234/636?
Answer: GCF of Numerators as per given numbers 1288/752, 9234/636 is
GCF of Numerators i.e. for 1288,9234 is 2
LCM of denominators i.e. for 752,636 is 119568.
Thus, GCF of Fractions is 2/119568.Finally, GCF of Fractions for 1288/752, 9234/636 is 2/119568.