Highest Common Factor of 1651, 2032 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, 2032 i.e. 127 the largest integer that leaves a remainder zero for all numbers.
HCF of 1651, 2032 is 127 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, 2032 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, 2032 is 127.
HCF(1651, 2032) = 127
HCF of 1651, 2032 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, 2032 is 127.
Highest Common Factor of 1651,2032 is 127
Step 1: Since 2032 > 1651, we apply the division lemma to 2032 and 1651, to get
2032 = 1651 x 1 + 381
Step 2: Since the reminder 1651 ≠ 0, we apply division lemma to 381 and 1651, to get
1651 = 381 x 4 + 127
Step 3: We consider the new divisor 381 and the new remainder 127, and apply the division lemma to get
381 = 127 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 127, the HCF of 1651 and 2032 is 127
Notice that 127 = HCF(381,127) = HCF(1651,381) = HCF(2032,1651) .
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Frequently Asked Questions on HCF of 1651, 2032 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, 2032?
Answer: HCF of 1651, 2032 is 127 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1651, 2032 using Euclid's Algorithm?
Answer: For arbitrary numbers 1651, 2032 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.