Highest Common Factor of 5339, 5979 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 5339, 5979 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5339, 5979 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 5339, 5979 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 5339, 5979 is 1.
HCF(5339, 5979) = 1
HCF of 5339, 5979 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5339, 5979 is 1.
Highest Common Factor of 5339,5979 is 1
Step 1: Since 5979 > 5339, we apply the division lemma to 5979 and 5339, to get
5979 = 5339 x 1 + 640
Step 2: Since the reminder 5339 ≠ 0, we apply division lemma to 640 and 5339, to get
5339 = 640 x 8 + 219
Step 3: We consider the new divisor 640 and the new remainder 219, and apply the division lemma to get
640 = 219 x 2 + 202
We consider the new divisor 219 and the new remainder 202,and apply the division lemma to get
219 = 202 x 1 + 17
We consider the new divisor 202 and the new remainder 17,and apply the division lemma to get
202 = 17 x 11 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5339 and 5979 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(202,17) = HCF(219,202) = HCF(640,219) = HCF(5339,640) = HCF(5979,5339) .
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Frequently Asked Questions on HCF of 5339, 5979 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 5339, 5979?
Answer: HCF of 5339, 5979 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5339, 5979 using Euclid's Algorithm?
Answer: For arbitrary numbers 5339, 5979 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.