Highest Common Factor of 9437, 8022 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 9437, 8022 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9437, 8022 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 9437, 8022 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 9437, 8022 is 1.
HCF(9437, 8022) = 1
HCF of 9437, 8022 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9437, 8022 is 1.
Highest Common Factor of 9437,8022 is 1
Step 1: Since 9437 > 8022, we apply the division lemma to 9437 and 8022, to get
9437 = 8022 x 1 + 1415
Step 2: Since the reminder 8022 ≠ 0, we apply division lemma to 1415 and 8022, to get
8022 = 1415 x 5 + 947
Step 3: We consider the new divisor 1415 and the new remainder 947, and apply the division lemma to get
1415 = 947 x 1 + 468
We consider the new divisor 947 and the new remainder 468,and apply the division lemma to get
947 = 468 x 2 + 11
We consider the new divisor 468 and the new remainder 11,and apply the division lemma to get
468 = 11 x 42 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9437 and 8022 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(468,11) = HCF(947,468) = HCF(1415,947) = HCF(8022,1415) = HCF(9437,8022) .
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Frequently Asked Questions on HCF of 9437, 8022 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 9437, 8022?
Answer: HCF of 9437, 8022 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9437, 8022 using Euclid's Algorithm?
Answer: For arbitrary numbers 9437, 8022 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
