Highest Common Factor of 4902, 4187, 36956 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 4902, 4187, 36956 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4902, 4187, 36956 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 4902, 4187, 36956 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 4902, 4187, 36956 is 1.
HCF(4902, 4187, 36956) = 1
HCF of 4902, 4187, 36956 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4902, 4187, 36956 is 1.
Highest Common Factor of 4902,4187,36956 is 1
Step 1: Since 4902 > 4187, we apply the division lemma to 4902 and 4187, to get
4902 = 4187 x 1 + 715
Step 2: Since the reminder 4187 ≠ 0, we apply division lemma to 715 and 4187, to get
4187 = 715 x 5 + 612
Step 3: We consider the new divisor 715 and the new remainder 612, and apply the division lemma to get
715 = 612 x 1 + 103
We consider the new divisor 612 and the new remainder 103,and apply the division lemma to get
612 = 103 x 5 + 97
We consider the new divisor 103 and the new remainder 97,and apply the division lemma to get
103 = 97 x 1 + 6
We consider the new divisor 97 and the new remainder 6,and apply the division lemma to get
97 = 6 x 16 + 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 4902 and 4187 is 1
Notice that 1 = HCF(6,1) = HCF(97,6) = HCF(103,97) = HCF(612,103) = HCF(715,612) = HCF(4187,715) = HCF(4902,4187) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 36956 > 1, we apply the division lemma to 36956 and 1, to get
36956 = 1 x 36956 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36956 is 1
Notice that 1 = HCF(36956,1) .
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Frequently Asked Questions on HCF of 4902, 4187, 36956 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 4902, 4187, 36956?
Answer: HCF of 4902, 4187, 36956 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4902, 4187, 36956 using Euclid's Algorithm?
Answer: For arbitrary numbers 4902, 4187, 36956 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.