GCF of 6524/920, 6301/6770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6524/920, 6301/6770 i.e 1/622840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6524/920, 6301/6770.
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 6524/920,6301/6770?
Given fractions are 6524/920,6301/6770
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 6524/920,6301/6770, numerators are 6524,6301
Denominators are 920,6770
The GCF of 6524,6301 is 1 .
LCM of 920,6770 is 622840.
The greatest common factor of 6524/920,6301/6770 = [GCF of 6524,6301]/[LCM of 920,6770]= 1/622840
Therefore, the GCF of 6524/920,6301/6770 is 1/622840.
To find the highest common factor of 6524,6301, we have to find the factors of both numbers and list the highest common factor.
The factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524
The factors of 6301 are 1, 6301
The HCF of 6524,6301 is 1.
Lets's calculate GCF of 6524,6301
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6524,6301 By Matching Biggest Common Factor Method
Now, list down the factors of 6524
:1,2,4,7,14,28,233,466,932,1631,3262,6524
Now, list down the factors of 6301
:1,6301
Greatest Common Factor
We found the factors 6524,6301 . The biggest common factor number is the GCF number.
So the greatest common factor 6524,6301 is 1.
Lets's calculate LCM of 920,6770
| 2 | 920, 6770 |
| 5 | 460, 3385 |
| 92, 677 |
∴ So the LCM of the given numbers is 2 x 5 x 92 x 677 = 622840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/622840
Therefore, the GCF of Fractions 6524/920,6301/6770 is 1/622840
Least Common Multiple of 920,6770 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 920,6770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(920,6770) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(920,6770) x common factors =10 x 1 = 10
LCM(920,6770) = ( 920 × 6770 ) / 10
LCM(920,6770) = 6228400 / 10
LCM(920,6770) = 622840
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FAQs on GCF of Fractions of 6524/920, 6301/6770
1. What is the HCF of 6524,6301?
The HCF of 6524,6301 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 6524/920, 6301/6770?
Answer: GCF of Numerators as per given numbers 6524/920, 6301/6770 is
GCF of Numerators i.e. for 6524,6301 is 1
LCM of denominators i.e. for 920,6770 is 622840.
Thus, GCF of Fractions is 1/622840.Finally, GCF of Fractions for 6524/920, 6301/6770 is 1/622840.