GCF of 706/118, 559/504, 496/741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 706/118, 559/504, 496/741 i.e 1/7344792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 706/118, 559/504, 496/741.
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 706/118,559/504,496/741?
Given fractions are 706/118,559/504,496/741
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 706/118,559/504,496/741, numerators are 706,559,496
Denominators are 118,504,741
The GCF of 706,559,496 is 1 .
LCM of 118,504,741 is 7344792.
The greatest common factor of 706/118,559/504,496/741 = [GCF of 706,559,496]/[LCM of 118,504,741]= 1/7344792
Therefore, the GCF of 706/118,559/504,496/741 is 1/7344792.
To find the highest common factor of 706,559,496, we have to find the factors of both numbers and list the highest common factor.
The factors of 706 are 1, 2, 353, 706
The factors of 559 are 1, 13, 43, 559
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The HCF of 706,559,496 is 1.
Lets's calculate GCF of 706,559,496
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 706,559,496 By Matching Biggest Common Factor Method
Now, list down the factors of 706
:1,2,353,706
Now, list down the factors of 559
:1,13,43,559
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 706,559,496 . The biggest common factor number is the GCF number.
So the greatest common factor 706,559,496 is 1.
Lets's calculate LCM of 118,504,741
| 2 | 118, 504, 741 |
| 3 | 59, 252, 741 |
| 59, 84, 247 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 84 x 247 = 7344792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7344792
Therefore, the GCF of Fractions 706/118,559/504,496/741 is 1/7344792
Least Common Multiple of 118,504,741 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 118,504,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,504,741) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(118,504,741) x common factors =1 x 6 = 6
LCM(118,504,741) = ( 118 × 504 × 741 ) / 6
LCM(118,504,741) = 44068752 / 6
LCM(118,504,741) = 7344792
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FAQs on GCF of Fractions of 706/118, 559/504, 496/741
1. What is the HCF of 706,559,496?
The HCF of 706,559,496 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 706/118, 559/504, 496/741?
Answer: GCF of Numerators as per given numbers 706/118, 559/504, 496/741 is
GCF of Numerators i.e. for 706,559,496 is 1
LCM of denominators i.e. for 118,504,741 is 7344792.
Thus, GCF of Fractions is 1/7344792.Finally, GCF of Fractions for 706/118, 559/504, 496/741 is 1/7344792.