Highest Common Factor of 956, 144, 633, 54 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 956, 144, 633, 54 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 956, 144, 633, 54 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 956, 144, 633, 54 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 956, 144, 633, 54 is 1.
HCF(956, 144, 633, 54) = 1
HCF of 956, 144, 633, 54 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 956, 144, 633, 54 is 1.
Highest Common Factor of 956,144,633,54 is 1
Step 1: Since 956 > 144, we apply the division lemma to 956 and 144, to get
956 = 144 x 6 + 92
Step 2: Since the reminder 144 ≠ 0, we apply division lemma to 92 and 144, to get
144 = 92 x 1 + 52
Step 3: We consider the new divisor 92 and the new remainder 52, and apply the division lemma to get
92 = 52 x 1 + 40
We consider the new divisor 52 and the new remainder 40,and apply the division lemma to get
52 = 40 x 1 + 12
We consider the new divisor 40 and the new remainder 12,and apply the division lemma to get
40 = 12 x 3 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 956 and 144 is 4
Notice that 4 = HCF(12,4) = HCF(40,12) = HCF(52,40) = HCF(92,52) = HCF(144,92) = HCF(956,144) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 633 > 4, we apply the division lemma to 633 and 4, to get
633 = 4 x 158 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 633 is 1
Notice that 1 = HCF(4,1) = HCF(633,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54 > 1, we apply the division lemma to 54 and 1, to get
54 = 1 x 54 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54 is 1
Notice that 1 = HCF(54,1) .
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Frequently Asked Questions on HCF of 956, 144, 633, 54 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 956, 144, 633, 54?
Answer: HCF of 956, 144, 633, 54 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 956, 144, 633, 54 using Euclid's Algorithm?
Answer: For arbitrary numbers 956, 144, 633, 54 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.