Highest Common Factor of 4937, 5205 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 4937, 5205 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4937, 5205 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 4937, 5205 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 4937, 5205 is 1.
HCF(4937, 5205) = 1
HCF of 4937, 5205 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4937, 5205 is 1.
Highest Common Factor of 4937,5205 is 1
Step 1: Since 5205 > 4937, we apply the division lemma to 5205 and 4937, to get
5205 = 4937 x 1 + 268
Step 2: Since the reminder 4937 ≠ 0, we apply division lemma to 268 and 4937, to get
4937 = 268 x 18 + 113
Step 3: We consider the new divisor 268 and the new remainder 113, and apply the division lemma to get
268 = 113 x 2 + 42
We consider the new divisor 113 and the new remainder 42,and apply the division lemma to get
113 = 42 x 2 + 29
We consider the new divisor 42 and the new remainder 29,and apply the division lemma to get
42 = 29 x 1 + 13
We consider the new divisor 29 and the new remainder 13,and apply the division lemma to get
29 = 13 x 2 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4937 and 5205 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(42,29) = HCF(113,42) = HCF(268,113) = HCF(4937,268) = HCF(5205,4937) .
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Frequently Asked Questions on HCF of 4937, 5205 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 4937, 5205?
Answer: HCF of 4937, 5205 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4937, 5205 using Euclid's Algorithm?
Answer: For arbitrary numbers 4937, 5205 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.