Highest Common Factor of 2698, 5364 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 2698, 5364 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2698, 5364 is 2 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 2698, 5364 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 2698, 5364 is 2.
HCF(2698, 5364) = 2
HCF of 2698, 5364 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2698, 5364 is 2.
Highest Common Factor of 2698,5364 is 2
Step 1: Since 5364 > 2698, we apply the division lemma to 5364 and 2698, to get
5364 = 2698 x 1 + 2666
Step 2: Since the reminder 2698 ≠ 0, we apply division lemma to 2666 and 2698, to get
2698 = 2666 x 1 + 32
Step 3: We consider the new divisor 2666 and the new remainder 32, and apply the division lemma to get
2666 = 32 x 83 + 10
We consider the new divisor 32 and the new remainder 10,and apply the division lemma to get
32 = 10 x 3 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2698 and 5364 is 2
Notice that 2 = HCF(10,2) = HCF(32,10) = HCF(2666,32) = HCF(2698,2666) = HCF(5364,2698) .
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Frequently Asked Questions on HCF of 2698, 5364 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 2698, 5364?
Answer: HCF of 2698, 5364 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2698, 5364 using Euclid's Algorithm?
Answer: For arbitrary numbers 2698, 5364 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
