GCF of 5357/822, 1708/5550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5357/822, 1708/5550 i.e 1/760350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5357/822, 1708/5550.
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 5357/822,1708/5550?
Given fractions are 5357/822,1708/5550
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 5357/822,1708/5550, numerators are 5357,1708
Denominators are 822,5550
The GCF of 5357,1708 is 1 .
LCM of 822,5550 is 760350.
The greatest common factor of 5357/822,1708/5550 = [GCF of 5357,1708]/[LCM of 822,5550]= 1/760350
Therefore, the GCF of 5357/822,1708/5550 is 1/760350.
To find the highest common factor of 5357,1708, we have to find the factors of both numbers and list the highest common factor.
The factors of 5357 are 1, 11, 487, 5357
The factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708
The HCF of 5357,1708 is 1.
Lets's calculate GCF of 5357,1708
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5357,1708 By Matching Biggest Common Factor Method
Now, list down the factors of 5357
:1,11,487,5357
Now, list down the factors of 1708
:1,2,4,7,14,28,61,122,244,427,854,1708
Greatest Common Factor
We found the factors 5357,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 5357,1708 is 1.
Lets's calculate LCM of 822,5550
| 2 | 822, 5550 |
| 3 | 411, 2775 |
| 137, 925 |
∴ So the LCM of the given numbers is 2 x 3 x 137 x 925 = 760350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/760350
Therefore, the GCF of Fractions 5357/822,1708/5550 is 1/760350
Least Common Multiple of 822,5550 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 822,5550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,5550) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(822,5550) x common factors =6 x 1 = 6
LCM(822,5550) = ( 822 × 5550 ) / 6
LCM(822,5550) = 4562100 / 6
LCM(822,5550) = 760350
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FAQs on GCF of Fractions of 5357/822, 1708/5550
1. What is the HCF of 5357,1708?
The HCF of 5357,1708 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 5357/822, 1708/5550?
Answer: GCF of Numerators as per given numbers 5357/822, 1708/5550 is
GCF of Numerators i.e. for 5357,1708 is 1
LCM of denominators i.e. for 822,5550 is 760350.
Thus, GCF of Fractions is 1/760350.Finally, GCF of Fractions for 5357/822, 1708/5550 is 1/760350.