Highest Common Factor of 52, 96, 28, 954 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 52, 96, 28, 954 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 52, 96, 28, 954 is 2 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 52, 96, 28, 954 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 52, 96, 28, 954 is 2.
HCF(52, 96, 28, 954) = 2
HCF of 52, 96, 28, 954 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 52, 96, 28, 954 is 2.
Highest Common Factor of 52,96,28,954 is 2
Step 1: Since 96 > 52, we apply the division lemma to 96 and 52, to get
96 = 52 x 1 + 44
Step 2: Since the reminder 52 ≠ 0, we apply division lemma to 44 and 52, to get
52 = 44 x 1 + 8
Step 3: We consider the new divisor 44 and the new remainder 8, and apply the division lemma to get
44 = 8 x 5 + 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 52 and 96 is 4
Notice that 4 = HCF(8,4) = HCF(44,8) = HCF(52,44) = HCF(96,52) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 28 > 4, we apply the division lemma to 28 and 4, to get
28 = 4 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 28 is 4
Notice that 4 = HCF(28,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 954 > 4, we apply the division lemma to 954 and 4, to get
954 = 4 x 238 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 954 is 2
Notice that 2 = HCF(4,2) = HCF(954,4) .
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Frequently Asked Questions on HCF of 52, 96, 28, 954 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 52, 96, 28, 954?
Answer: HCF of 52, 96, 28, 954 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 52, 96, 28, 954 using Euclid's Algorithm?
Answer: For arbitrary numbers 52, 96, 28, 954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.