Highest Common Factor of 308, 6151, 4006 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 308, 6151, 4006 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 308, 6151, 4006 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 308, 6151, 4006 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 308, 6151, 4006 is 1.
HCF(308, 6151, 4006) = 1
HCF of 308, 6151, 4006 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 308, 6151, 4006 is 1.
Highest Common Factor of 308,6151,4006 is 1
Step 1: Since 6151 > 308, we apply the division lemma to 6151 and 308, to get
6151 = 308 x 19 + 299
Step 2: Since the reminder 308 ≠ 0, we apply division lemma to 299 and 308, to get
308 = 299 x 1 + 9
Step 3: We consider the new divisor 299 and the new remainder 9, and apply the division lemma to get
299 = 9 x 33 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 308 and 6151 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(299,9) = HCF(308,299) = HCF(6151,308) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4006 > 1, we apply the division lemma to 4006 and 1, to get
4006 = 1 x 4006 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4006 is 1
Notice that 1 = HCF(4006,1) .
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Frequently Asked Questions on HCF of 308, 6151, 4006 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 308, 6151, 4006?
Answer: HCF of 308, 6151, 4006 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 308, 6151, 4006 using Euclid's Algorithm?
Answer: For arbitrary numbers 308, 6151, 4006 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.