Highest Common Factor of 3970, 8064, 76239 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 3970, 8064, 76239 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3970, 8064, 76239 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 3970, 8064, 76239 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 3970, 8064, 76239 is 1.
HCF(3970, 8064, 76239) = 1
HCF of 3970, 8064, 76239 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3970, 8064, 76239 is 1.
Highest Common Factor of 3970,8064,76239 is 1
Step 1: Since 8064 > 3970, we apply the division lemma to 8064 and 3970, to get
8064 = 3970 x 2 + 124
Step 2: Since the reminder 3970 ≠ 0, we apply division lemma to 124 and 3970, to get
3970 = 124 x 32 + 2
Step 3: We consider the new divisor 124 and the new remainder 2, and apply the division lemma to get
124 = 2 x 62 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3970 and 8064 is 2
Notice that 2 = HCF(124,2) = HCF(3970,124) = HCF(8064,3970) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 76239 > 2, we apply the division lemma to 76239 and 2, to get
76239 = 2 x 38119 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 76239 is 1
Notice that 1 = HCF(2,1) = HCF(76239,2) .
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Frequently Asked Questions on HCF of 3970, 8064, 76239 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 3970, 8064, 76239?
Answer: HCF of 3970, 8064, 76239 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3970, 8064, 76239 using Euclid's Algorithm?
Answer: For arbitrary numbers 3970, 8064, 76239 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.