Highest Common Factor of 7597, 2371 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 7597, 2371 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7597, 2371 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 7597, 2371 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 7597, 2371 is 1.
HCF(7597, 2371) = 1
HCF of 7597, 2371 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7597, 2371 is 1.
Highest Common Factor of 7597,2371 is 1
Step 1: Since 7597 > 2371, we apply the division lemma to 7597 and 2371, to get
7597 = 2371 x 3 + 484
Step 2: Since the reminder 2371 ≠ 0, we apply division lemma to 484 and 2371, to get
2371 = 484 x 4 + 435
Step 3: We consider the new divisor 484 and the new remainder 435, and apply the division lemma to get
484 = 435 x 1 + 49
We consider the new divisor 435 and the new remainder 49,and apply the division lemma to get
435 = 49 x 8 + 43
We consider the new divisor 49 and the new remainder 43,and apply the division lemma to get
49 = 43 x 1 + 6
We consider the new divisor 43 and the new remainder 6,and apply the division lemma to get
43 = 6 x 7 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7597 and 2371 is 1
Notice that 1 = HCF(6,1) = HCF(43,6) = HCF(49,43) = HCF(435,49) = HCF(484,435) = HCF(2371,484) = HCF(7597,2371) .
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Frequently Asked Questions on HCF of 7597, 2371 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 7597, 2371?
Answer: HCF of 7597, 2371 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7597, 2371 using Euclid's Algorithm?
Answer: For arbitrary numbers 7597, 2371 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.