Highest Common Factor of 7646, 6235 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 7646, 6235 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7646, 6235 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 7646, 6235 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 7646, 6235 is 1.
HCF(7646, 6235) = 1
HCF of 7646, 6235 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7646, 6235 is 1.
Highest Common Factor of 7646,6235 is 1
Step 1: Since 7646 > 6235, we apply the division lemma to 7646 and 6235, to get
7646 = 6235 x 1 + 1411
Step 2: Since the reminder 6235 ≠ 0, we apply division lemma to 1411 and 6235, to get
6235 = 1411 x 4 + 591
Step 3: We consider the new divisor 1411 and the new remainder 591, and apply the division lemma to get
1411 = 591 x 2 + 229
We consider the new divisor 591 and the new remainder 229,and apply the division lemma to get
591 = 229 x 2 + 133
We consider the new divisor 229 and the new remainder 133,and apply the division lemma to get
229 = 133 x 1 + 96
We consider the new divisor 133 and the new remainder 96,and apply the division lemma to get
133 = 96 x 1 + 37
We consider the new divisor 96 and the new remainder 37,and apply the division lemma to get
96 = 37 x 2 + 22
We consider the new divisor 37 and the new remainder 22,and apply the division lemma to get
37 = 22 x 1 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 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 7646 and 6235 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(37,22) = HCF(96,37) = HCF(133,96) = HCF(229,133) = HCF(591,229) = HCF(1411,591) = HCF(6235,1411) = HCF(7646,6235) .
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Frequently Asked Questions on HCF of 7646, 6235 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 7646, 6235?
Answer: HCF of 7646, 6235 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7646, 6235 using Euclid's Algorithm?
Answer: For arbitrary numbers 7646, 6235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.