GCF of 43/69, 842/43, 748/879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 43/69, 842/43, 748/879 i.e 1/869331 easily. The following is the detailed procedure to determine the greatest common factor of fractions 43/69, 842/43, 748/879.
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 43/69,842/43,748/879?
Given fractions are 43/69,842/43,748/879
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 43/69,842/43,748/879, numerators are 43,842,748
Denominators are 69,43,879
The GCF of 43,842,748 is 1 .
LCM of 69,43,879 is 869331.
The greatest common factor of 43/69,842/43,748/879 = [GCF of 43,842,748]/[LCM of 69,43,879]= 1/869331
Therefore, the GCF of 43/69,842/43,748/879 is 1/869331.
To find the highest common factor of 43,842,748, we have to find the factors of both numbers and list the highest common factor.
The factors of 43 are 1, 43
The factors of 842 are 1, 2, 421, 842
The factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
The HCF of 43,842,748 is 1.
Lets's calculate GCF of 43,842,748
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 43,842,748 By Matching Biggest Common Factor Method
Now, list down the factors of 43
:1,43
Now, list down the factors of 842
:1,2,421,842
Now, list down the factors of 748
:1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 43,842,748 . The biggest common factor number is the GCF number.
So the greatest common factor 43,842,748 is 1.
Lets's calculate LCM of 69,43,879
| 3 | 69, 43, 879 |
| 23, 43, 293 |
∴ So the LCM of the given numbers is 3 x 23 x 43 x 293 = 869331
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/869331
Therefore, the GCF of Fractions 43/69,842/43,748/879 is 1/869331
Least Common Multiple of 69,43,879 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 69,43,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,43,879) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,43,879) x common factors =1 x 3 = 3
LCM(69,43,879) = ( 69 × 43 × 879 ) / 3
LCM(69,43,879) = 2607993 / 3
LCM(69,43,879) = 869331
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FAQs on GCF of Fractions of 43/69, 842/43, 748/879
1. What is the HCF of 43,842,748?
The HCF of 43,842,748 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 43/69, 842/43, 748/879?
Answer: GCF of Numerators as per given numbers 43/69, 842/43, 748/879 is
GCF of Numerators i.e. for 43,842,748 is 1
LCM of denominators i.e. for 69,43,879 is 869331.
Thus, GCF of Fractions is 1/869331.Finally, GCF of Fractions for 43/69, 842/43, 748/879 is 1/869331.