GCF of 1204/752, 6440/7288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1204/752, 6440/7288 i.e 28/685072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1204/752, 6440/7288.
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 1204/752,6440/7288?
Given fractions are 1204/752,6440/7288
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 1204/752,6440/7288, numerators are 1204,6440
Denominators are 752,7288
The GCF of 1204,6440 is 28 .
LCM of 752,7288 is 685072.
The greatest common factor of 1204/752,6440/7288 = [GCF of 1204,6440]/[LCM of 752,7288]= 28/685072
Therefore, the GCF of 1204/752,6440/7288 is 28/685072.
To find the highest common factor of 1204,6440, we have to find the factors of both numbers and list the highest common factor.
The factors of 1204 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204
The factors of 6440 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220, 6440
The HCF of 1204,6440 is 28.
Lets's calculate GCF of 1204,6440
| 2 | 1204, 6440 |
| 2 | 602, 3220 |
| 7 | 301, 1610 |
| 43, 230 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 1204,6440 By Matching Biggest Common Factor Method
Now, list down the factors of 1204
:1,2,4,7,14,28,43,86,172,301,602,1204
Now, list down the factors of 6440
:1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440
Greatest Common Factor
We found the factors 1204,6440 . The biggest common factor number is the GCF number.
So the greatest common factor 1204,6440 is 28.
Lets's calculate LCM of 752,7288
| 2 | 752, 7288 |
| 2 | 376, 3644 |
| 2 | 188, 1822 |
| 94, 911 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 94 x 911 = 685072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/685072
Therefore, the GCF of Fractions 1204/752,6440/7288 is 28/685072
Least Common Multiple of 752,7288 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 752,7288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,7288) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(752,7288) x common factors =8 x 1 = 8
LCM(752,7288) = ( 752 × 7288 ) / 8
LCM(752,7288) = 5480576 / 8
LCM(752,7288) = 685072
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FAQs on GCF of Fractions of 1204/752, 6440/7288
1. What is the HCF of 1204,6440?
The HCF of 1204,6440 is 28
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 1204/752, 6440/7288?
Answer: GCF of Numerators as per given numbers 1204/752, 6440/7288 is
GCF of Numerators i.e. for 1204,6440 is 28
LCM of denominators i.e. for 752,7288 is 685072.
Thus, GCF of Fractions is 28/685072.Finally, GCF of Fractions for 1204/752, 6440/7288 is 28/685072.