GCF of 3767/214, 7456/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3767/214, 7456/960 i.e 1/102720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3767/214, 7456/960.
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 3767/214,7456/960?
Given fractions are 3767/214,7456/960
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 3767/214,7456/960, numerators are 3767,7456
Denominators are 214,960
The GCF of 3767,7456 is 1 .
LCM of 214,960 is 102720.
The greatest common factor of 3767/214,7456/960 = [GCF of 3767,7456]/[LCM of 214,960]= 1/102720
Therefore, the GCF of 3767/214,7456/960 is 1/102720.
To find the highest common factor of 3767,7456, we have to find the factors of both numbers and list the highest common factor.
The factors of 3767 are 1, 3767
The factors of 7456 are 1, 2, 4, 8, 16, 32, 233, 466, 932, 1864, 3728, 7456
The HCF of 3767,7456 is 1.
Lets's calculate GCF of 3767,7456
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3767,7456 By Matching Biggest Common Factor Method
Now, list down the factors of 3767
:1,3767
Now, list down the factors of 7456
:1,2,4,8,16,32,233,466,932,1864,3728,7456
Greatest Common Factor
We found the factors 3767,7456 . The biggest common factor number is the GCF number.
So the greatest common factor 3767,7456 is 1.
Lets's calculate LCM of 214,960
| 2 | 214, 960 |
| 107, 480 |
∴ So the LCM of the given numbers is 2 x 107 x 480 = 102720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102720
Therefore, the GCF of Fractions 3767/214,7456/960 is 1/102720
Least Common Multiple of 214,960 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 214,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,960) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,960) x common factors =2 x 1 = 2
LCM(214,960) = ( 214 × 960 ) / 2
LCM(214,960) = 205440 / 2
LCM(214,960) = 102720
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FAQs on GCF of Fractions of 3767/214, 7456/960
1. What is the HCF of 3767,7456?
The HCF of 3767,7456 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 3767/214, 7456/960?
Answer: GCF of Numerators as per given numbers 3767/214, 7456/960 is
GCF of Numerators i.e. for 3767,7456 is 1
LCM of denominators i.e. for 214,960 is 102720.
Thus, GCF of Fractions is 1/102720.Finally, GCF of Fractions for 3767/214, 7456/960 is 1/102720.