GCF of 1651/128, 7067/4824
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1651/128, 7067/4824 i.e 1/77184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1651/128, 7067/4824.
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 1651/128,7067/4824?
Given fractions are 1651/128,7067/4824
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 1651/128,7067/4824, numerators are 1651,7067
Denominators are 128,4824
The GCF of 1651,7067 is 1 .
LCM of 128,4824 is 77184.
The greatest common factor of 1651/128,7067/4824 = [GCF of 1651,7067]/[LCM of 128,4824]= 1/77184
Therefore, the GCF of 1651/128,7067/4824 is 1/77184.
To find the highest common factor of 1651,7067, we have to find the factors of both numbers and list the highest common factor.
The factors of 1651 are 1, 13, 127, 1651
The factors of 7067 are 1, 37, 191, 7067
The HCF of 1651,7067 is 1.
Lets's calculate GCF of 1651,7067
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1651,7067 By Matching Biggest Common Factor Method
Now, list down the factors of 1651
:1,13,127,1651
Now, list down the factors of 7067
:1,37,191,7067
Greatest Common Factor
We found the factors 1651,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 1651,7067 is 1.
Lets's calculate LCM of 128,4824
| 2 | 128, 4824 |
| 2 | 64, 2412 |
| 2 | 32, 1206 |
| 16, 603 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 16 x 603 = 77184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77184
Therefore, the GCF of Fractions 1651/128,7067/4824 is 1/77184
Least Common Multiple of 128,4824 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 128,4824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,4824) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(128,4824) x common factors =8 x 1 = 8
LCM(128,4824) = ( 128 × 4824 ) / 8
LCM(128,4824) = 617472 / 8
LCM(128,4824) = 77184
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FAQs on GCF of Fractions of 1651/128, 7067/4824
1. What is the HCF of 1651,7067?
The HCF of 1651,7067 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 1651/128, 7067/4824?
Answer: GCF of Numerators as per given numbers 1651/128, 7067/4824 is
GCF of Numerators i.e. for 1651,7067 is 1
LCM of denominators i.e. for 128,4824 is 77184.
Thus, GCF of Fractions is 1/77184.Finally, GCF of Fractions for 1651/128, 7067/4824 is 1/77184.