GCF of 640/362, 7791/634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 640/362, 7791/634 i.e 1/114754 easily. The following is the detailed procedure to determine the greatest common factor of fractions 640/362, 7791/634.
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 640/362,7791/634?
Given fractions are 640/362,7791/634
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 640/362,7791/634, numerators are 640,7791
Denominators are 362,634
The GCF of 640,7791 is 1 .
LCM of 362,634 is 114754.
The greatest common factor of 640/362,7791/634 = [GCF of 640,7791]/[LCM of 362,634]= 1/114754
Therefore, the GCF of 640/362,7791/634 is 1/114754.
To find the highest common factor of 640,7791, we have to find the factors of both numbers and list the highest common factor.
The factors of 640 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
The factors of 7791 are 1, 3, 7, 21, 49, 53, 147, 159, 371, 1113, 2597, 7791
The HCF of 640,7791 is 1.
Lets's calculate GCF of 640,7791
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 640,7791 By Matching Biggest Common Factor Method
Now, list down the factors of 640
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Now, list down the factors of 7791
:1,3,7,21,49,53,147,159,371,1113,2597,7791
Greatest Common Factor
We found the factors 640,7791 . The biggest common factor number is the GCF number.
So the greatest common factor 640,7791 is 1.
Lets's calculate LCM of 362,634
| 2 | 362, 634 |
| 181, 317 |
∴ So the LCM of the given numbers is 2 x 181 x 317 = 114754
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114754
Therefore, the GCF of Fractions 640/362,7791/634 is 1/114754
Least Common Multiple of 362,634 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 362,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,634) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,634) x common factors =2 x 1 = 2
LCM(362,634) = ( 362 × 634 ) / 2
LCM(362,634) = 229508 / 2
LCM(362,634) = 114754
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FAQs on GCF of Fractions of 640/362, 7791/634
1. What is the HCF of 640,7791?
The HCF of 640,7791 is 1
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 640/362, 7791/634?
Answer: GCF of Numerators as per given numbers 640/362, 7791/634 is
GCF of Numerators i.e. for 640,7791 is 1
LCM of denominators i.e. for 362,634 is 114754.
Thus, GCF of Fractions is 1/114754.Finally, GCF of Fractions for 640/362, 7791/634 is 1/114754.