GCF of 874/639, 584/718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 874/639, 584/718 i.e 2/458802 easily. The following is the detailed procedure to determine the greatest common factor of fractions 874/639, 584/718.
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 874/639,584/718?
Given fractions are 874/639,584/718
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 874/639,584/718, numerators are 874,584
Denominators are 639,718
The GCF of 874,584 is 2 .
LCM of 639,718 is 458802.
The greatest common factor of 874/639,584/718 = [GCF of 874,584]/[LCM of 639,718]= 2/458802
Therefore, the GCF of 874/639,584/718 is 2/458802.
To find the highest common factor of 874,584, we have to find the factors of both numbers and list the highest common factor.
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The HCF of 874,584 is 2.
Lets's calculate GCF of 874,584
| 2 | 874, 584 |
| 437, 292 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 874,584 By Matching Biggest Common Factor Method
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 874,584 . The biggest common factor number is the GCF number.
So the greatest common factor 874,584 is 2.
Lets's calculate LCM of 639,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 458802
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/458802
Therefore, the GCF of Fractions 874/639,584/718 is 2/458802
Least Common Multiple of 639,718 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 639,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,718) x common factors =1 x 1 = 1
LCM(639,718) = ( 639 × 718 ) / 1
LCM(639,718) = 458802 / 1
LCM(639,718) = 458802
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FAQs on GCF of Fractions of 874/639, 584/718
1. What is the HCF of 874,584?
The HCF of 874,584 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 874/639, 584/718?
Answer: GCF of Numerators as per given numbers 874/639, 584/718 is
GCF of Numerators i.e. for 874,584 is 2
LCM of denominators i.e. for 639,718 is 458802.
Thus, GCF of Fractions is 2/458802.Finally, GCF of Fractions for 874/639, 584/718 is 2/458802.