GCF of 86/48, 828/56, 436/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 86/48, 828/56, 436/644 i.e 2/7728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 86/48, 828/56, 436/644.
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 86/48,828/56,436/644?
Given fractions are 86/48,828/56,436/644
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 86/48,828/56,436/644, numerators are 86,828,436
Denominators are 48,56,644
The GCF of 86,828,436 is 2 .
LCM of 48,56,644 is 7728.
The greatest common factor of 86/48,828/56,436/644 = [GCF of 86,828,436]/[LCM of 48,56,644]= 2/7728
Therefore, the GCF of 86/48,828/56,436/644 is 2/7728.
To find the highest common factor of 86,828,436, we have to find the factors of both numbers and list the highest common factor.
The factors of 86 are 1, 2, 43, 86
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The factors of 436 are 1, 2, 4, 109, 218, 436
The HCF of 86,828,436 is 2.
Lets's calculate GCF of 86,828,436
| 2 | 86, 828, 436 |
| 43, 414, 218 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 86,828,436 By Matching Biggest Common Factor Method
Now, list down the factors of 86
:1,2,43,86
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Now, list down the factors of 436
:1,2,4,109,218,436
Greatest Common Factor
We found the factors 86,828,436 . The biggest common factor number is the GCF number.
So the greatest common factor 86,828,436 is 2.
Lets's calculate LCM of 48,56,644
| 2 | 48, 56, 644 |
| 2 | 24, 28, 322 |
| 2 | 12, 14, 161 |
| 7 | 6, 7, 161 |
| 6, 1, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 6 x 1 x 23 = 7728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7728
Therefore, the GCF of Fractions 86/48,828/56,436/644 is 2/7728
Least Common Multiple of 48,56,644 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 48,56,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,56,644) = 4
common factors(in case of two or more numbers have common factors) = 56
GCF(48,56,644) x common factors =4 x 56 = 224
LCM(48,56,644) = ( 48 × 56 × 644 ) / 224
LCM(48,56,644) = 1731072 / 224
LCM(48,56,644) = 7728
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FAQs on GCF of Fractions of 86/48, 828/56, 436/644
1. What is the HCF of 86,828,436?
The HCF of 86,828,436 is 2
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 86/48, 828/56, 436/644?
Answer: GCF of Numerators as per given numbers 86/48, 828/56, 436/644 is
GCF of Numerators i.e. for 86,828,436 is 2
LCM of denominators i.e. for 48,56,644 is 7728.
Thus, GCF of Fractions is 2/7728.Finally, GCF of Fractions for 86/48, 828/56, 436/644 is 2/7728.