GCF of 7447/534, 7107/4960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7447/534, 7107/4960 i.e 1/1324320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7447/534, 7107/4960.
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 7447/534,7107/4960?
Given fractions are 7447/534,7107/4960
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 7447/534,7107/4960, numerators are 7447,7107
Denominators are 534,4960
The GCF of 7447,7107 is 1 .
LCM of 534,4960 is 1324320.
The greatest common factor of 7447/534,7107/4960 = [GCF of 7447,7107]/[LCM of 534,4960]= 1/1324320
Therefore, the GCF of 7447/534,7107/4960 is 1/1324320.
To find the highest common factor of 7447,7107, we have to find the factors of both numbers and list the highest common factor.
The factors of 7447 are 1, 11, 677, 7447
The factors of 7107 are 1, 3, 23, 69, 103, 309, 2369, 7107
The HCF of 7447,7107 is 1.
Lets's calculate GCF of 7447,7107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7447,7107 By Matching Biggest Common Factor Method
Now, list down the factors of 7447
:1,11,677,7447
Now, list down the factors of 7107
:1,3,23,69,103,309,2369,7107
Greatest Common Factor
We found the factors 7447,7107 . The biggest common factor number is the GCF number.
So the greatest common factor 7447,7107 is 1.
Lets's calculate LCM of 534,4960
| 2 | 534, 4960 |
| 267, 2480 |
∴ So the LCM of the given numbers is 2 x 267 x 2480 = 1324320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1324320
Therefore, the GCF of Fractions 7447/534,7107/4960 is 1/1324320
Least Common Multiple of 534,4960 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 534,4960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,4960) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(534,4960) x common factors =2 x 1 = 2
LCM(534,4960) = ( 534 × 4960 ) / 2
LCM(534,4960) = 2648640 / 2
LCM(534,4960) = 1324320
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FAQs on GCF of Fractions of 7447/534, 7107/4960
1. What is the HCF of 7447,7107?
The HCF of 7447,7107 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 7447/534, 7107/4960?
Answer: GCF of Numerators as per given numbers 7447/534, 7107/4960 is
GCF of Numerators i.e. for 7447,7107 is 1
LCM of denominators i.e. for 534,4960 is 1324320.
Thus, GCF of Fractions is 1/1324320.Finally, GCF of Fractions for 7447/534, 7107/4960 is 1/1324320.