Highest Common Factor of 1956, 1612 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 1956, 1612 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1956, 1612 is 4 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 1956, 1612 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 1956, 1612 is 4.
HCF(1956, 1612) = 4
HCF of 1956, 1612 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1956, 1612 is 4.
Highest Common Factor of 1956,1612 is 4
Step 1: Since 1956 > 1612, we apply the division lemma to 1956 and 1612, to get
1956 = 1612 x 1 + 344
Step 2: Since the reminder 1612 ≠ 0, we apply division lemma to 344 and 1612, to get
1612 = 344 x 4 + 236
Step 3: We consider the new divisor 344 and the new remainder 236, and apply the division lemma to get
344 = 236 x 1 + 108
We consider the new divisor 236 and the new remainder 108,and apply the division lemma to get
236 = 108 x 2 + 20
We consider the new divisor 108 and the new remainder 20,and apply the division lemma to get
108 = 20 x 5 + 8
We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get
20 = 8 x 2 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1956 and 1612 is 4
Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(108,20) = HCF(236,108) = HCF(344,236) = HCF(1612,344) = HCF(1956,1612) .
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Frequently Asked Questions on HCF of 1956, 1612 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 1956, 1612?
Answer: HCF of 1956, 1612 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1956, 1612 using Euclid's Algorithm?
Answer: For arbitrary numbers 1956, 1612 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.