Highest Common Factor of 7696, 9434 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 7696, 9434 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7696, 9434 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 7696, 9434 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 7696, 9434 is 2.
HCF(7696, 9434) = 2
HCF of 7696, 9434 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7696, 9434 is 2.
Highest Common Factor of 7696,9434 is 2
Step 1: Since 9434 > 7696, we apply the division lemma to 9434 and 7696, to get
9434 = 7696 x 1 + 1738
Step 2: Since the reminder 7696 ≠ 0, we apply division lemma to 1738 and 7696, to get
7696 = 1738 x 4 + 744
Step 3: We consider the new divisor 1738 and the new remainder 744, and apply the division lemma to get
1738 = 744 x 2 + 250
We consider the new divisor 744 and the new remainder 250,and apply the division lemma to get
744 = 250 x 2 + 244
We consider the new divisor 250 and the new remainder 244,and apply the division lemma to get
250 = 244 x 1 + 6
We consider the new divisor 244 and the new remainder 6,and apply the division lemma to get
244 = 6 x 40 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 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 7696 and 9434 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(244,6) = HCF(250,244) = HCF(744,250) = HCF(1738,744) = HCF(7696,1738) = HCF(9434,7696) .
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Frequently Asked Questions on HCF of 7696, 9434 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 7696, 9434?
Answer: HCF of 7696, 9434 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7696, 9434 using Euclid's Algorithm?
Answer: For arbitrary numbers 7696, 9434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
