GCF of 74/596, 80/700, 168/862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 74/596, 80/700, 168/862 i.e 2/44953300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 74/596, 80/700, 168/862.
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 74/596,80/700,168/862?
Given fractions are 74/596,80/700,168/862
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 74/596,80/700,168/862, numerators are 74,80,168
Denominators are 596,700,862
The GCF of 74,80,168 is 2 .
LCM of 596,700,862 is 44953300.
The greatest common factor of 74/596,80/700,168/862 = [GCF of 74,80,168]/[LCM of 596,700,862]= 2/44953300
Therefore, the GCF of 74/596,80/700,168/862 is 2/44953300.
To find the highest common factor of 74,80,168, we have to find the factors of both numbers and list the highest common factor.
The factors of 74 are 1, 2, 37, 74
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The HCF of 74,80,168 is 2.
Lets's calculate GCF of 74,80,168
| 2 | 74, 80, 168 |
| 37, 40, 84 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 74,80,168 By Matching Biggest Common Factor Method
Now, list down the factors of 74
:1,2,37,74
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 74,80,168 . The biggest common factor number is the GCF number.
So the greatest common factor 74,80,168 is 2.
Lets's calculate LCM of 596,700,862
| 2 | 596, 700, 862 |
| 2 | 298, 350, 431 |
| 149, 175, 431 |
∴ So the LCM of the given numbers is 2 x 2 x 149 x 175 x 431 = 44953300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/44953300
Therefore, the GCF of Fractions 74/596,80/700,168/862 is 2/44953300
Least Common Multiple of 596,700,862 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 596,700,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,700,862) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(596,700,862) x common factors =2 x 4 = 8
LCM(596,700,862) = ( 596 × 700 × 862 ) / 8
LCM(596,700,862) = 359626400 / 8
LCM(596,700,862) = 44953300
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FAQs on GCF of Fractions of 74/596, 80/700, 168/862
1. What is the HCF of 74,80,168?
The HCF of 74,80,168 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 74/596, 80/700, 168/862?
Answer: GCF of Numerators as per given numbers 74/596, 80/700, 168/862 is
GCF of Numerators i.e. for 74,80,168 is 2
LCM of denominators i.e. for 596,700,862 is 44953300.
Thus, GCF of Fractions is 2/44953300.Finally, GCF of Fractions for 74/596, 80/700, 168/862 is 2/44953300.