Highest Common Factor of 4634, 7076 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 4634, 7076 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4634, 7076 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 4634, 7076 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 4634, 7076 is 2.
HCF(4634, 7076) = 2
HCF of 4634, 7076 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4634, 7076 is 2.
Highest Common Factor of 4634,7076 is 2
Step 1: Since 7076 > 4634, we apply the division lemma to 7076 and 4634, to get
7076 = 4634 x 1 + 2442
Step 2: Since the reminder 4634 ≠ 0, we apply division lemma to 2442 and 4634, to get
4634 = 2442 x 1 + 2192
Step 3: We consider the new divisor 2442 and the new remainder 2192, and apply the division lemma to get
2442 = 2192 x 1 + 250
We consider the new divisor 2192 and the new remainder 250,and apply the division lemma to get
2192 = 250 x 8 + 192
We consider the new divisor 250 and the new remainder 192,and apply the division lemma to get
250 = 192 x 1 + 58
We consider the new divisor 192 and the new remainder 58,and apply the division lemma to get
192 = 58 x 3 + 18
We consider the new divisor 58 and the new remainder 18,and apply the division lemma to get
58 = 18 x 3 + 4
We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get
18 = 4 x 4 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4634 and 7076 is 2
Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(58,18) = HCF(192,58) = HCF(250,192) = HCF(2192,250) = HCF(2442,2192) = HCF(4634,2442) = HCF(7076,4634) .
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Frequently Asked Questions on HCF of 4634, 7076 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 4634, 7076?
Answer: HCF of 4634, 7076 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4634, 7076 using Euclid's Algorithm?
Answer: For arbitrary numbers 4634, 7076 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.