GCF of 1467/685, 7564/1440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1467/685, 7564/1440 i.e 1/197280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1467/685, 7564/1440.
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 1467/685,7564/1440?
Given fractions are 1467/685,7564/1440
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 1467/685,7564/1440, numerators are 1467,7564
Denominators are 685,1440
The GCF of 1467,7564 is 1 .
LCM of 685,1440 is 197280.
The greatest common factor of 1467/685,7564/1440 = [GCF of 1467,7564]/[LCM of 685,1440]= 1/197280
Therefore, the GCF of 1467/685,7564/1440 is 1/197280.
To find the highest common factor of 1467,7564, we have to find the factors of both numbers and list the highest common factor.
The factors of 1467 are 1, 3, 9, 163, 489, 1467
The factors of 7564 are 1, 2, 4, 31, 61, 62, 122, 124, 244, 1891, 3782, 7564
The HCF of 1467,7564 is 1.
Lets's calculate GCF of 1467,7564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1467,7564 By Matching Biggest Common Factor Method
Now, list down the factors of 1467
:1,3,9,163,489,1467
Now, list down the factors of 7564
:1,2,4,31,61,62,122,124,244,1891,3782,7564
Greatest Common Factor
We found the factors 1467,7564 . The biggest common factor number is the GCF number.
So the greatest common factor 1467,7564 is 1.
Lets's calculate LCM of 685,1440
| 5 | 685, 1440 |
| 137, 288 |
∴ So the LCM of the given numbers is 5 x 137 x 288 = 197280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197280
Therefore, the GCF of Fractions 1467/685,7564/1440 is 1/197280
Least Common Multiple of 685,1440 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 685,1440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,1440) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(685,1440) x common factors =5 x 1 = 5
LCM(685,1440) = ( 685 × 1440 ) / 5
LCM(685,1440) = 986400 / 5
LCM(685,1440) = 197280
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FAQs on GCF of Fractions of 1467/685, 7564/1440
1. What is the HCF of 1467,7564?
The HCF of 1467,7564 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 1467/685, 7564/1440?
Answer: GCF of Numerators as per given numbers 1467/685, 7564/1440 is
GCF of Numerators i.e. for 1467,7564 is 1
LCM of denominators i.e. for 685,1440 is 197280.
Thus, GCF of Fractions is 1/197280.Finally, GCF of Fractions for 1467/685, 7564/1440 is 1/197280.