Highest Common Factor of 5879, 9199 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 5879, 9199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5879, 9199 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 5879, 9199 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 5879, 9199 is 1.
HCF(5879, 9199) = 1
HCF of 5879, 9199 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5879, 9199 is 1.
Highest Common Factor of 5879,9199 is 1
Step 1: Since 9199 > 5879, we apply the division lemma to 9199 and 5879, to get
9199 = 5879 x 1 + 3320
Step 2: Since the reminder 5879 ≠ 0, we apply division lemma to 3320 and 5879, to get
5879 = 3320 x 1 + 2559
Step 3: We consider the new divisor 3320 and the new remainder 2559, and apply the division lemma to get
3320 = 2559 x 1 + 761
We consider the new divisor 2559 and the new remainder 761,and apply the division lemma to get
2559 = 761 x 3 + 276
We consider the new divisor 761 and the new remainder 276,and apply the division lemma to get
761 = 276 x 2 + 209
We consider the new divisor 276 and the new remainder 209,and apply the division lemma to get
276 = 209 x 1 + 67
We consider the new divisor 209 and the new remainder 67,and apply the division lemma to get
209 = 67 x 3 + 8
We consider the new divisor 67 and the new remainder 8,and apply the division lemma to get
67 = 8 x 8 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 5879 and 9199 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(67,8) = HCF(209,67) = HCF(276,209) = HCF(761,276) = HCF(2559,761) = HCF(3320,2559) = HCF(5879,3320) = HCF(9199,5879) .
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Frequently Asked Questions on HCF of 5879, 9199 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 5879, 9199?
Answer: HCF of 5879, 9199 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5879, 9199 using Euclid's Algorithm?
Answer: For arbitrary numbers 5879, 9199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
