Highest Common Factor of 6868, 5639 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 6868, 5639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6868, 5639 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 6868, 5639 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 6868, 5639 is 1.
HCF(6868, 5639) = 1
HCF of 6868, 5639 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6868, 5639 is 1.
Highest Common Factor of 6868,5639 is 1
Step 1: Since 6868 > 5639, we apply the division lemma to 6868 and 5639, to get
6868 = 5639 x 1 + 1229
Step 2: Since the reminder 5639 ≠ 0, we apply division lemma to 1229 and 5639, to get
5639 = 1229 x 4 + 723
Step 3: We consider the new divisor 1229 and the new remainder 723, and apply the division lemma to get
1229 = 723 x 1 + 506
We consider the new divisor 723 and the new remainder 506,and apply the division lemma to get
723 = 506 x 1 + 217
We consider the new divisor 506 and the new remainder 217,and apply the division lemma to get
506 = 217 x 2 + 72
We consider the new divisor 217 and the new remainder 72,and apply the division lemma to get
217 = 72 x 3 + 1
We consider the new divisor 72 and the new remainder 1,and apply the division lemma to get
72 = 1 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6868 and 5639 is 1
Notice that 1 = HCF(72,1) = HCF(217,72) = HCF(506,217) = HCF(723,506) = HCF(1229,723) = HCF(5639,1229) = HCF(6868,5639) .
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Frequently Asked Questions on HCF of 6868, 5639 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 6868, 5639?
Answer: HCF of 6868, 5639 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6868, 5639 using Euclid's Algorithm?
Answer: For arbitrary numbers 6868, 5639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.