Highest Common Factor of 492, 6860, 4151 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 492, 6860, 4151 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 492, 6860, 4151 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 492, 6860, 4151 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 492, 6860, 4151 is 1.
HCF(492, 6860, 4151) = 1
HCF of 492, 6860, 4151 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 492, 6860, 4151 is 1.
Highest Common Factor of 492,6860,4151 is 1
Step 1: Since 6860 > 492, we apply the division lemma to 6860 and 492, to get
6860 = 492 x 13 + 464
Step 2: Since the reminder 492 ≠ 0, we apply division lemma to 464 and 492, to get
492 = 464 x 1 + 28
Step 3: We consider the new divisor 464 and the new remainder 28, and apply the division lemma to get
464 = 28 x 16 + 16
We consider the new divisor 28 and the new remainder 16,and apply the division lemma to get
28 = 16 x 1 + 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 492 and 6860 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(28,16) = HCF(464,28) = HCF(492,464) = HCF(6860,492) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4151 > 4, we apply the division lemma to 4151 and 4, to get
4151 = 4 x 1037 + 3
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get
4 = 3 x 1 + 1
Step 3: 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 4 and 4151 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(4151,4) .
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Frequently Asked Questions on HCF of 492, 6860, 4151 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 492, 6860, 4151?
Answer: HCF of 492, 6860, 4151 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 492, 6860, 4151 using Euclid's Algorithm?
Answer: For arbitrary numbers 492, 6860, 4151 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.