GCF of 5438/764, 7280/7630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5438/764, 7280/7630 i.e 2/2914660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5438/764, 7280/7630.
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 5438/764,7280/7630?
Given fractions are 5438/764,7280/7630
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 5438/764,7280/7630, numerators are 5438,7280
Denominators are 764,7630
The GCF of 5438,7280 is 2 .
LCM of 764,7630 is 2914660.
The greatest common factor of 5438/764,7280/7630 = [GCF of 5438,7280]/[LCM of 764,7630]= 2/2914660
Therefore, the GCF of 5438/764,7280/7630 is 2/2914660.
To find the highest common factor of 5438,7280, we have to find the factors of both numbers and list the highest common factor.
The factors of 5438 are 1, 2, 2719, 5438
The factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280
The HCF of 5438,7280 is 2.
Lets's calculate GCF of 5438,7280
| 2 | 5438, 7280 |
| 2719, 3640 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5438,7280 By Matching Biggest Common Factor Method
Now, list down the factors of 5438
:1,2,2719,5438
Now, list down the factors of 7280
:1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280
Greatest Common Factor
We found the factors 5438,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 5438,7280 is 2.
Lets's calculate LCM of 764,7630
| 2 | 764, 7630 |
| 382, 3815 |
∴ So the LCM of the given numbers is 2 x 382 x 3815 = 2914660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2914660
Therefore, the GCF of Fractions 5438/764,7280/7630 is 2/2914660
Least Common Multiple of 764,7630 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 764,7630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,7630) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(764,7630) x common factors =2 x 1 = 2
LCM(764,7630) = ( 764 × 7630 ) / 2
LCM(764,7630) = 5829320 / 2
LCM(764,7630) = 2914660
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FAQs on GCF of Fractions of 5438/764, 7280/7630
1. What is the HCF of 5438,7280?
The HCF of 5438,7280 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 5438/764, 7280/7630?
Answer: GCF of Numerators as per given numbers 5438/764, 7280/7630 is
GCF of Numerators i.e. for 5438,7280 is 2
LCM of denominators i.e. for 764,7630 is 2914660.
Thus, GCF of Fractions is 2/2914660.Finally, GCF of Fractions for 5438/764, 7280/7630 is 2/2914660.