Highest Common Factor of 2072, 9371 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 2072, 9371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2072, 9371 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 2072, 9371 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 2072, 9371 is 1.
HCF(2072, 9371) = 1
HCF of 2072, 9371 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2072, 9371 is 1.
Highest Common Factor of 2072,9371 is 1
Step 1: Since 9371 > 2072, we apply the division lemma to 9371 and 2072, to get
9371 = 2072 x 4 + 1083
Step 2: Since the reminder 2072 ≠ 0, we apply division lemma to 1083 and 2072, to get
2072 = 1083 x 1 + 989
Step 3: We consider the new divisor 1083 and the new remainder 989, and apply the division lemma to get
1083 = 989 x 1 + 94
We consider the new divisor 989 and the new remainder 94,and apply the division lemma to get
989 = 94 x 10 + 49
We consider the new divisor 94 and the new remainder 49,and apply the division lemma to get
94 = 49 x 1 + 45
We consider the new divisor 49 and the new remainder 45,and apply the division lemma to get
49 = 45 x 1 + 4
We consider the new divisor 45 and the new remainder 4,and apply the division lemma to get
45 = 4 x 11 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2072 and 9371 is 1
Notice that 1 = HCF(4,1) = HCF(45,4) = HCF(49,45) = HCF(94,49) = HCF(989,94) = HCF(1083,989) = HCF(2072,1083) = HCF(9371,2072) .
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Frequently Asked Questions on HCF of 2072, 9371 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 2072, 9371?
Answer: HCF of 2072, 9371 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2072, 9371 using Euclid's Algorithm?
Answer: For arbitrary numbers 2072, 9371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.