GCF of 672/851, 332/736, 815/840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 672/851, 332/736, 815/840 i.e 1/2859360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 672/851, 332/736, 815/840.
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 672/851,332/736,815/840?
Given fractions are 672/851,332/736,815/840
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 672/851,332/736,815/840, numerators are 672,332,815
Denominators are 851,736,840
The GCF of 672,332,815 is 1 .
LCM of 851,736,840 is 2859360.
The greatest common factor of 672/851,332/736,815/840 = [GCF of 672,332,815]/[LCM of 851,736,840]= 1/2859360
Therefore, the GCF of 672/851,332/736,815/840 is 1/2859360.
To find the highest common factor of 672,332,815, we have to find the factors of both numbers and list the highest common factor.
The factors of 672 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
The factors of 332 are 1, 2, 4, 83, 166, 332
The factors of 815 are 1, 5, 163, 815
The HCF of 672,332,815 is 1.
Lets's calculate GCF of 672,332,815
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 672,332,815 By Matching Biggest Common Factor Method
Now, list down the factors of 672
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Now, list down the factors of 332
:1,2,4,83,166,332
Now, list down the factors of 815
:1,5,163,815
Greatest Common Factor
We found the factors 672,332,815 . The biggest common factor number is the GCF number.
So the greatest common factor 672,332,815 is 1.
Lets's calculate LCM of 851,736,840
| 2 | 851, 736, 840 |
| 2 | 851, 368, 420 |
| 2 | 851, 184, 210 |
| 23 | 851, 92, 105 |
| 37, 4, 105 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 37 x 4 x 105 = 2859360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2859360
Therefore, the GCF of Fractions 672/851,332/736,815/840 is 1/2859360
Least Common Multiple of 851,736,840 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 851,736,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,736,840) = 1
common factors(in case of two or more numbers have common factors) = 184
GCF(851,736,840) x common factors =1 x 184 = 184
LCM(851,736,840) = ( 851 × 736 × 840 ) / 184
LCM(851,736,840) = 526122240 / 184
LCM(851,736,840) = 2859360
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 672/851, 332/736, 815/840
1. What is the HCF of 672,332,815?
The HCF of 672,332,815 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 672/851, 332/736, 815/840?
Answer: GCF of Numerators as per given numbers 672/851, 332/736, 815/840 is
GCF of Numerators i.e. for 672,332,815 is 1
LCM of denominators i.e. for 851,736,840 is 2859360.
Thus, GCF of Fractions is 1/2859360.Finally, GCF of Fractions for 672/851, 332/736, 815/840 is 1/2859360.