Highest Common Factor of 5989, 5298 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5989, 5298 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5989, 5298 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 5989, 5298 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 5989, 5298 is 1.
HCF(5989, 5298) = 1
HCF of 5989, 5298 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5989, 5298 is 1.
Highest Common Factor of 5989,5298 is 1
Step 1: Since 5989 > 5298, we apply the division lemma to 5989 and 5298, to get
5989 = 5298 x 1 + 691
Step 2: Since the reminder 5298 ≠ 0, we apply division lemma to 691 and 5298, to get
5298 = 691 x 7 + 461
Step 3: We consider the new divisor 691 and the new remainder 461, and apply the division lemma to get
691 = 461 x 1 + 230
We consider the new divisor 461 and the new remainder 230,and apply the division lemma to get
461 = 230 x 2 + 1
We consider the new divisor 230 and the new remainder 1,and apply the division lemma to get
230 = 1 x 230 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5989 and 5298 is 1
Notice that 1 = HCF(230,1) = HCF(461,230) = HCF(691,461) = HCF(5298,691) = HCF(5989,5298) .
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Frequently Asked Questions on HCF of 5989, 5298 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 5989, 5298?
Answer: HCF of 5989, 5298 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5989, 5298 using Euclid's Algorithm?
Answer: For arbitrary numbers 5989, 5298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
