GCF of 1456/320, 1607/9274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1456/320, 1607/9274 i.e 1/1483840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1456/320, 1607/9274.
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 1456/320,1607/9274?
Given fractions are 1456/320,1607/9274
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 1456/320,1607/9274, numerators are 1456,1607
Denominators are 320,9274
The GCF of 1456,1607 is 1 .
LCM of 320,9274 is 1483840.
The greatest common factor of 1456/320,1607/9274 = [GCF of 1456,1607]/[LCM of 320,9274]= 1/1483840
Therefore, the GCF of 1456/320,1607/9274 is 1/1483840.
To find the highest common factor of 1456,1607, we have to find the factors of both numbers and list the highest common factor.
The factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456
The factors of 1607 are 1, 1607
The HCF of 1456,1607 is 1.
Lets's calculate GCF of 1456,1607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1456,1607 By Matching Biggest Common Factor Method
Now, list down the factors of 1456
:1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456
Now, list down the factors of 1607
:1,1607
Greatest Common Factor
We found the factors 1456,1607 . The biggest common factor number is the GCF number.
So the greatest common factor 1456,1607 is 1.
Lets's calculate LCM of 320,9274
| 2 | 320, 9274 |
| 160, 4637 |
∴ So the LCM of the given numbers is 2 x 160 x 4637 = 1483840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1483840
Therefore, the GCF of Fractions 1456/320,1607/9274 is 1/1483840
Least Common Multiple of 320,9274 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 320,9274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,9274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(320,9274) x common factors =2 x 1 = 2
LCM(320,9274) = ( 320 × 9274 ) / 2
LCM(320,9274) = 2967680 / 2
LCM(320,9274) = 1483840
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FAQs on GCF of Fractions of 1456/320, 1607/9274
1. What is the HCF of 1456,1607?
The HCF of 1456,1607 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 1456/320, 1607/9274?
Answer: GCF of Numerators as per given numbers 1456/320, 1607/9274 is
GCF of Numerators i.e. for 1456,1607 is 1
LCM of denominators i.e. for 320,9274 is 1483840.
Thus, GCF of Fractions is 1/1483840.Finally, GCF of Fractions for 1456/320, 1607/9274 is 1/1483840.