GCF of 6953/860, 8469/8145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6953/860, 8469/8145 i.e 1/1400940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6953/860, 8469/8145.
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 6953/860,8469/8145?
Given fractions are 6953/860,8469/8145
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 6953/860,8469/8145, numerators are 6953,8469
Denominators are 860,8145
The GCF of 6953,8469 is 1 .
LCM of 860,8145 is 1400940.
The greatest common factor of 6953/860,8469/8145 = [GCF of 6953,8469]/[LCM of 860,8145]= 1/1400940
Therefore, the GCF of 6953/860,8469/8145 is 1/1400940.
To find the highest common factor of 6953,8469, we have to find the factors of both numbers and list the highest common factor.
The factors of 6953 are 1, 17, 409, 6953
The factors of 8469 are 1, 3, 9, 941, 2823, 8469
The HCF of 6953,8469 is 1.
Lets's calculate GCF of 6953,8469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6953,8469 By Matching Biggest Common Factor Method
Now, list down the factors of 6953
:1,17,409,6953
Now, list down the factors of 8469
:1,3,9,941,2823,8469
Greatest Common Factor
We found the factors 6953,8469 . The biggest common factor number is the GCF number.
So the greatest common factor 6953,8469 is 1.
Lets's calculate LCM of 860,8145
| 5 | 860, 8145 |
| 172, 1629 |
∴ So the LCM of the given numbers is 5 x 172 x 1629 = 1400940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1400940
Therefore, the GCF of Fractions 6953/860,8469/8145 is 1/1400940
Least Common Multiple of 860,8145 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 860,8145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,8145) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(860,8145) x common factors =5 x 1 = 5
LCM(860,8145) = ( 860 × 8145 ) / 5
LCM(860,8145) = 7004700 / 5
LCM(860,8145) = 1400940
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FAQs on GCF of Fractions of 6953/860, 8469/8145
1. What is the HCF of 6953,8469?
The HCF of 6953,8469 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 6953/860, 8469/8145?
Answer: GCF of Numerators as per given numbers 6953/860, 8469/8145 is
GCF of Numerators i.e. for 6953,8469 is 1
LCM of denominators i.e. for 860,8145 is 1400940.
Thus, GCF of Fractions is 1/1400940.Finally, GCF of Fractions for 6953/860, 8469/8145 is 1/1400940.