GCF of 3927/748, 8650/5160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3927/748, 8650/5160 i.e 1/964920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3927/748, 8650/5160.
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 3927/748,8650/5160?
Given fractions are 3927/748,8650/5160
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 3927/748,8650/5160, numerators are 3927,8650
Denominators are 748,5160
The GCF of 3927,8650 is 1 .
LCM of 748,5160 is 964920.
The greatest common factor of 3927/748,8650/5160 = [GCF of 3927,8650]/[LCM of 748,5160]= 1/964920
Therefore, the GCF of 3927/748,8650/5160 is 1/964920.
To find the highest common factor of 3927,8650, we have to find the factors of both numbers and list the highest common factor.
The factors of 3927 are 1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927
The factors of 8650 are 1, 2, 5, 10, 25, 50, 173, 346, 865, 1730, 4325, 8650
The HCF of 3927,8650 is 1.
Lets's calculate GCF of 3927,8650
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3927,8650 By Matching Biggest Common Factor Method
Now, list down the factors of 3927
:1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927
Now, list down the factors of 8650
:1,2,5,10,25,50,173,346,865,1730,4325,8650
Greatest Common Factor
We found the factors 3927,8650 . The biggest common factor number is the GCF number.
So the greatest common factor 3927,8650 is 1.
Lets's calculate LCM of 748,5160
| 2 | 748, 5160 |
| 2 | 374, 2580 |
| 187, 1290 |
∴ So the LCM of the given numbers is 2 x 2 x 187 x 1290 = 964920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/964920
Therefore, the GCF of Fractions 3927/748,8650/5160 is 1/964920
Least Common Multiple of 748,5160 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 748,5160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,5160) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(748,5160) x common factors =4 x 1 = 4
LCM(748,5160) = ( 748 × 5160 ) / 4
LCM(748,5160) = 3859680 / 4
LCM(748,5160) = 964920
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FAQs on GCF of Fractions of 3927/748, 8650/5160
1. What is the HCF of 3927,8650?
The HCF of 3927,8650 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 3927/748, 8650/5160?
Answer: GCF of Numerators as per given numbers 3927/748, 8650/5160 is
GCF of Numerators i.e. for 3927,8650 is 1
LCM of denominators i.e. for 748,5160 is 964920.
Thus, GCF of Fractions is 1/964920.Finally, GCF of Fractions for 3927/748, 8650/5160 is 1/964920.