Highest Common Factor of 9602, 7958 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 9602, 7958 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9602, 7958 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 9602, 7958 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 9602, 7958 is 2.
HCF(9602, 7958) = 2
HCF of 9602, 7958 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9602, 7958 is 2.
Highest Common Factor of 9602,7958 is 2
Step 1: Since 9602 > 7958, we apply the division lemma to 9602 and 7958, to get
9602 = 7958 x 1 + 1644
Step 2: Since the reminder 7958 ≠ 0, we apply division lemma to 1644 and 7958, to get
7958 = 1644 x 4 + 1382
Step 3: We consider the new divisor 1644 and the new remainder 1382, and apply the division lemma to get
1644 = 1382 x 1 + 262
We consider the new divisor 1382 and the new remainder 262,and apply the division lemma to get
1382 = 262 x 5 + 72
We consider the new divisor 262 and the new remainder 72,and apply the division lemma to get
262 = 72 x 3 + 46
We consider the new divisor 72 and the new remainder 46,and apply the division lemma to get
72 = 46 x 1 + 26
We consider the new divisor 46 and the new remainder 26,and apply the division lemma to get
46 = 26 x 1 + 20
We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get
26 = 20 x 1 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9602 and 7958 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(46,26) = HCF(72,46) = HCF(262,72) = HCF(1382,262) = HCF(1644,1382) = HCF(7958,1644) = HCF(9602,7958) .
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Frequently Asked Questions on HCF of 9602, 7958 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 9602, 7958?
Answer: HCF of 9602, 7958 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9602, 7958 using Euclid's Algorithm?
Answer: For arbitrary numbers 9602, 7958 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.