GCF of 6545/660, 5467/685
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6545/660, 5467/685 i.e 77/90420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6545/660, 5467/685.
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 6545/660,5467/685?
Given fractions are 6545/660,5467/685
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 6545/660,5467/685, numerators are 6545,5467
Denominators are 660,685
The GCF of 6545,5467 is 77 .
LCM of 660,685 is 90420.
The greatest common factor of 6545/660,5467/685 = [GCF of 6545,5467]/[LCM of 660,685]= 77/90420
Therefore, the GCF of 6545/660,5467/685 is 77/90420.
To find the highest common factor of 6545,5467, we have to find the factors of both numbers and list the highest common factor.
The factors of 6545 are 1, 5, 7, 11, 17, 35, 55, 77, 85, 119, 187, 385, 595, 935, 1309, 6545
The factors of 5467 are 1, 7, 11, 71, 77, 497, 781, 5467
The HCF of 6545,5467 is 77.
Lets's calculate GCF of 6545,5467
| 7 | 6545, 5467 |
| 11 | 935, 781 |
| 85, 71 |
∴ So the GCF of the given numbers is 7 x 11 = 77
Greatest Common Factor of 6545,5467 By Matching Biggest Common Factor Method
Now, list down the factors of 6545
:1,5,7,11,17,35,55,77,85,119,187,385,595,935,1309,6545
Now, list down the factors of 5467
:1,7,11,71,77,497,781,5467
Greatest Common Factor
We found the factors 6545,5467 . The biggest common factor number is the GCF number.
So the greatest common factor 6545,5467 is 77.
Lets's calculate LCM of 660,685
| 5 | 660, 685 |
| 132, 137 |
∴ So the LCM of the given numbers is 5 x 132 x 137 = 90420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/90420
Therefore, the GCF of Fractions 6545/660,5467/685 is 77/90420
Least Common Multiple of 660,685 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 660,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(660,685) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(660,685) x common factors =5 x 1 = 5
LCM(660,685) = ( 660 × 685 ) / 5
LCM(660,685) = 452100 / 5
LCM(660,685) = 90420
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FAQs on GCF of Fractions of 6545/660, 5467/685
1. What is the HCF of 6545,5467?
The HCF of 6545,5467 is 77
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 6545/660, 5467/685?
Answer: GCF of Numerators as per given numbers 6545/660, 5467/685 is
GCF of Numerators i.e. for 6545,5467 is 77
LCM of denominators i.e. for 660,685 is 90420.
Thus, GCF of Fractions is 77/90420.Finally, GCF of Fractions for 6545/660, 5467/685 is 77/90420.