Highest Common Factor of 3797, 6326 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 3797, 6326 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3797, 6326 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 3797, 6326 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 3797, 6326 is 1.
HCF(3797, 6326) = 1
HCF of 3797, 6326 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3797, 6326 is 1.
Highest Common Factor of 3797,6326 is 1
Step 1: Since 6326 > 3797, we apply the division lemma to 6326 and 3797, to get
6326 = 3797 x 1 + 2529
Step 2: Since the reminder 3797 ≠ 0, we apply division lemma to 2529 and 3797, to get
3797 = 2529 x 1 + 1268
Step 3: We consider the new divisor 2529 and the new remainder 1268, and apply the division lemma to get
2529 = 1268 x 1 + 1261
We consider the new divisor 1268 and the new remainder 1261,and apply the division lemma to get
1268 = 1261 x 1 + 7
We consider the new divisor 1261 and the new remainder 7,and apply the division lemma to get
1261 = 7 x 180 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3797 and 6326 is 1
Notice that 1 = HCF(7,1) = HCF(1261,7) = HCF(1268,1261) = HCF(2529,1268) = HCF(3797,2529) = HCF(6326,3797) .
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Frequently Asked Questions on HCF of 3797, 6326 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 3797, 6326?
Answer: HCF of 3797, 6326 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3797, 6326 using Euclid's Algorithm?
Answer: For arbitrary numbers 3797, 6326 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.