Highest Common Factor of 4639, 7101 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 4639, 7101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4639, 7101 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 4639, 7101 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 4639, 7101 is 1.
HCF(4639, 7101) = 1
HCF of 4639, 7101 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4639, 7101 is 1.
Highest Common Factor of 4639,7101 is 1
Step 1: Since 7101 > 4639, we apply the division lemma to 7101 and 4639, to get
7101 = 4639 x 1 + 2462
Step 2: Since the reminder 4639 ≠ 0, we apply division lemma to 2462 and 4639, to get
4639 = 2462 x 1 + 2177
Step 3: We consider the new divisor 2462 and the new remainder 2177, and apply the division lemma to get
2462 = 2177 x 1 + 285
We consider the new divisor 2177 and the new remainder 285,and apply the division lemma to get
2177 = 285 x 7 + 182
We consider the new divisor 285 and the new remainder 182,and apply the division lemma to get
285 = 182 x 1 + 103
We consider the new divisor 182 and the new remainder 103,and apply the division lemma to get
182 = 103 x 1 + 79
We consider the new divisor 103 and the new remainder 79,and apply the division lemma to get
103 = 79 x 1 + 24
We consider the new divisor 79 and the new remainder 24,and apply the division lemma to get
79 = 24 x 3 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4639 and 7101 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(79,24) = HCF(103,79) = HCF(182,103) = HCF(285,182) = HCF(2177,285) = HCF(2462,2177) = HCF(4639,2462) = HCF(7101,4639) .
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Frequently Asked Questions on HCF of 4639, 7101 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 4639, 7101?
Answer: HCF of 4639, 7101 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4639, 7101 using Euclid's Algorithm?
Answer: For arbitrary numbers 4639, 7101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
