Highest Common Factor of 9491, 7368 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 9491, 7368 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9491, 7368 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 9491, 7368 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 9491, 7368 is 1.
HCF(9491, 7368) = 1
HCF of 9491, 7368 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9491, 7368 is 1.
Highest Common Factor of 9491,7368 is 1
Step 1: Since 9491 > 7368, we apply the division lemma to 9491 and 7368, to get
9491 = 7368 x 1 + 2123
Step 2: Since the reminder 7368 ≠ 0, we apply division lemma to 2123 and 7368, to get
7368 = 2123 x 3 + 999
Step 3: We consider the new divisor 2123 and the new remainder 999, and apply the division lemma to get
2123 = 999 x 2 + 125
We consider the new divisor 999 and the new remainder 125,and apply the division lemma to get
999 = 125 x 7 + 124
We consider the new divisor 125 and the new remainder 124,and apply the division lemma to get
125 = 124 x 1 + 1
We consider the new divisor 124 and the new remainder 1,and apply the division lemma to get
124 = 1 x 124 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9491 and 7368 is 1
Notice that 1 = HCF(124,1) = HCF(125,124) = HCF(999,125) = HCF(2123,999) = HCF(7368,2123) = HCF(9491,7368) .
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Frequently Asked Questions on HCF of 9491, 7368 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 9491, 7368?
Answer: HCF of 9491, 7368 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9491, 7368 using Euclid's Algorithm?
Answer: For arbitrary numbers 9491, 7368 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.