Highest Common Factor of 1651, 2970 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 1651, 2970 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1651, 2970 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 1651, 2970 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 1651, 2970 is 1.
HCF(1651, 2970) = 1
HCF of 1651, 2970 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1651, 2970 is 1.
Highest Common Factor of 1651,2970 is 1
Step 1: Since 2970 > 1651, we apply the division lemma to 2970 and 1651, to get
2970 = 1651 x 1 + 1319
Step 2: Since the reminder 1651 ≠ 0, we apply division lemma to 1319 and 1651, to get
1651 = 1319 x 1 + 332
Step 3: We consider the new divisor 1319 and the new remainder 332, and apply the division lemma to get
1319 = 332 x 3 + 323
We consider the new divisor 332 and the new remainder 323,and apply the division lemma to get
332 = 323 x 1 + 9
We consider the new divisor 323 and the new remainder 9,and apply the division lemma to get
323 = 9 x 35 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1651 and 2970 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(323,9) = HCF(332,323) = HCF(1319,332) = HCF(1651,1319) = HCF(2970,1651) .
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Frequently Asked Questions on HCF of 1651, 2970 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 1651, 2970?
Answer: HCF of 1651, 2970 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1651, 2970 using Euclid's Algorithm?
Answer: For arbitrary numbers 1651, 2970 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.