GCF of 147/672, 5436/708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 147/672, 5436/708 i.e 3/39648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 147/672, 5436/708.
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 147/672,5436/708?
Given fractions are 147/672,5436/708
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 147/672,5436/708, numerators are 147,5436
Denominators are 672,708
The GCF of 147,5436 is 3 .
LCM of 672,708 is 39648.
The greatest common factor of 147/672,5436/708 = [GCF of 147,5436]/[LCM of 672,708]= 3/39648
Therefore, the GCF of 147/672,5436/708 is 3/39648.
To find the highest common factor of 147,5436, we have to find the factors of both numbers and list the highest common factor.
The factors of 147 are 1, 3, 7, 21, 49, 147
The factors of 5436 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 151, 302, 453, 604, 906, 1359, 1812, 2718, 5436
The HCF of 147,5436 is 3.
Lets's calculate GCF of 147,5436
| 3 | 147, 5436 |
| 49, 1812 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 147,5436 By Matching Biggest Common Factor Method
Now, list down the factors of 147
:1,3,7,21,49,147
Now, list down the factors of 5436
:1,2,3,4,6,9,12,18,36,151,302,453,604,906,1359,1812,2718,5436
Greatest Common Factor
We found the factors 147,5436 . The biggest common factor number is the GCF number.
So the greatest common factor 147,5436 is 3.
Lets's calculate LCM of 672,708
| 2 | 672, 708 |
| 2 | 336, 354 |
| 3 | 168, 177 |
| 56, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 56 x 59 = 39648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39648
Therefore, the GCF of Fractions 147/672,5436/708 is 3/39648
Least Common Multiple of 672,708 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 672,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,708) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(672,708) x common factors =12 x 1 = 12
LCM(672,708) = ( 672 × 708 ) / 12
LCM(672,708) = 475776 / 12
LCM(672,708) = 39648
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FAQs on GCF of Fractions of 147/672, 5436/708
1. What is the HCF of 147,5436?
The HCF of 147,5436 is 3
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 147/672, 5436/708?
Answer: GCF of Numerators as per given numbers 147/672, 5436/708 is
GCF of Numerators i.e. for 147,5436 is 3
LCM of denominators i.e. for 672,708 is 39648.
Thus, GCF of Fractions is 3/39648.Finally, GCF of Fractions for 147/672, 5436/708 is 3/39648.