GCF of 5090/642, 7644/9395
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5090/642, 7644/9395 i.e 2/6031590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5090/642, 7644/9395.
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 5090/642,7644/9395?
Given fractions are 5090/642,7644/9395
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 5090/642,7644/9395, numerators are 5090,7644
Denominators are 642,9395
The GCF of 5090,7644 is 2 .
LCM of 642,9395 is 6031590.
The greatest common factor of 5090/642,7644/9395 = [GCF of 5090,7644]/[LCM of 642,9395]= 2/6031590
Therefore, the GCF of 5090/642,7644/9395 is 2/6031590.
To find the highest common factor of 5090,7644, we have to find the factors of both numbers and list the highest common factor.
The factors of 5090 are 1, 2, 5, 10, 509, 1018, 2545, 5090
The factors of 7644 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 364, 546, 588, 637, 1092, 1274, 1911, 2548, 3822, 7644
The HCF of 5090,7644 is 2.
Lets's calculate GCF of 5090,7644
| 2 | 5090, 7644 |
| 2545, 3822 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5090,7644 By Matching Biggest Common Factor Method
Now, list down the factors of 5090
:1,2,5,10,509,1018,2545,5090
Now, list down the factors of 7644
:1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644
Greatest Common Factor
We found the factors 5090,7644 . The biggest common factor number is the GCF number.
So the greatest common factor 5090,7644 is 2.
Lets's calculate LCM of 642,9395
Given numbers has no common factors except 1. So, there LCM is their product i.e 6031590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6031590
Therefore, the GCF of Fractions 5090/642,7644/9395 is 2/6031590
Least Common Multiple of 642,9395 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 642,9395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,9395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(642,9395) x common factors =1 x 1 = 1
LCM(642,9395) = ( 642 × 9395 ) / 1
LCM(642,9395) = 6031590 / 1
LCM(642,9395) = 6031590
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FAQs on GCF of Fractions of 5090/642, 7644/9395
1. What is the HCF of 5090,7644?
The HCF of 5090,7644 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 5090/642, 7644/9395?
Answer: GCF of Numerators as per given numbers 5090/642, 7644/9395 is
GCF of Numerators i.e. for 5090,7644 is 2
LCM of denominators i.e. for 642,9395 is 6031590.
Thus, GCF of Fractions is 2/6031590.Finally, GCF of Fractions for 5090/642, 7644/9395 is 2/6031590.