Highest Common Factor of 677, 24199 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 677, 24199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 677, 24199 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 677, 24199 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 677, 24199 is 1.
HCF(677, 24199) = 1
HCF of 677, 24199 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 677, 24199 is 1.
Highest Common Factor of 677,24199 is 1
Step 1: Since 24199 > 677, we apply the division lemma to 24199 and 677, to get
24199 = 677 x 35 + 504
Step 2: Since the reminder 677 ≠ 0, we apply division lemma to 504 and 677, to get
677 = 504 x 1 + 173
Step 3: We consider the new divisor 504 and the new remainder 173, and apply the division lemma to get
504 = 173 x 2 + 158
We consider the new divisor 173 and the new remainder 158,and apply the division lemma to get
173 = 158 x 1 + 15
We consider the new divisor 158 and the new remainder 15,and apply the division lemma to get
158 = 15 x 10 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 677 and 24199 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(158,15) = HCF(173,158) = HCF(504,173) = HCF(677,504) = HCF(24199,677) .
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Frequently Asked Questions on HCF of 677, 24199 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 677, 24199?
Answer: HCF of 677, 24199 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 677, 24199 using Euclid's Algorithm?
Answer: For arbitrary numbers 677, 24199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.