Highest Common Factor of 692, 24588 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 692, 24588 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 692, 24588 is 4 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 692, 24588 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 692, 24588 is 4.
HCF(692, 24588) = 4
HCF of 692, 24588 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 692, 24588 is 4.
Highest Common Factor of 692,24588 is 4
Step 1: Since 24588 > 692, we apply the division lemma to 24588 and 692, to get
24588 = 692 x 35 + 368
Step 2: Since the reminder 692 ≠ 0, we apply division lemma to 368 and 692, to get
692 = 368 x 1 + 324
Step 3: We consider the new divisor 368 and the new remainder 324, and apply the division lemma to get
368 = 324 x 1 + 44
We consider the new divisor 324 and the new remainder 44,and apply the division lemma to get
324 = 44 x 7 + 16
We consider the new divisor 44 and the new remainder 16,and apply the division lemma to get
44 = 16 x 2 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 692 and 24588 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(44,16) = HCF(324,44) = HCF(368,324) = HCF(692,368) = HCF(24588,692) .
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Frequently Asked Questions on HCF of 692, 24588 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 692, 24588?
Answer: HCF of 692, 24588 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 692, 24588 using Euclid's Algorithm?
Answer: For arbitrary numbers 692, 24588 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.