Highest Common Factor of 826, 68348 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 826, 68348 i.e. 14 the largest integer that leaves a remainder zero for all numbers.
HCF of 826, 68348 is 14 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 826, 68348 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 826, 68348 is 14.
HCF(826, 68348) = 14
HCF of 826, 68348 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 826, 68348 is 14.
Highest Common Factor of 826,68348 is 14
Step 1: Since 68348 > 826, we apply the division lemma to 68348 and 826, to get
68348 = 826 x 82 + 616
Step 2: Since the reminder 826 ≠ 0, we apply division lemma to 616 and 826, to get
826 = 616 x 1 + 210
Step 3: We consider the new divisor 616 and the new remainder 210, and apply the division lemma to get
616 = 210 x 2 + 196
We consider the new divisor 210 and the new remainder 196,and apply the division lemma to get
210 = 196 x 1 + 14
We consider the new divisor 196 and the new remainder 14,and apply the division lemma to get
196 = 14 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 826 and 68348 is 14
Notice that 14 = HCF(196,14) = HCF(210,196) = HCF(616,210) = HCF(826,616) = HCF(68348,826) .
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Frequently Asked Questions on HCF of 826, 68348 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 826, 68348?
Answer: HCF of 826, 68348 is 14 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 826, 68348 using Euclid's Algorithm?
Answer: For arbitrary numbers 826, 68348 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.