Highest Common Factor of 4534, 5472, 58128 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 4534, 5472, 58128 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4534, 5472, 58128 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 4534, 5472, 58128 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 4534, 5472, 58128 is 2.
HCF(4534, 5472, 58128) = 2
HCF of 4534, 5472, 58128 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4534, 5472, 58128 is 2.
Highest Common Factor of 4534,5472,58128 is 2
Step 1: Since 5472 > 4534, we apply the division lemma to 5472 and 4534, to get
5472 = 4534 x 1 + 938
Step 2: Since the reminder 4534 ≠ 0, we apply division lemma to 938 and 4534, to get
4534 = 938 x 4 + 782
Step 3: We consider the new divisor 938 and the new remainder 782, and apply the division lemma to get
938 = 782 x 1 + 156
We consider the new divisor 782 and the new remainder 156,and apply the division lemma to get
782 = 156 x 5 + 2
We consider the new divisor 156 and the new remainder 2,and apply the division lemma to get
156 = 2 x 78 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4534 and 5472 is 2
Notice that 2 = HCF(156,2) = HCF(782,156) = HCF(938,782) = HCF(4534,938) = HCF(5472,4534) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 58128 > 2, we apply the division lemma to 58128 and 2, to get
58128 = 2 x 29064 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 58128 is 2
Notice that 2 = HCF(58128,2) .
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Frequently Asked Questions on HCF of 4534, 5472, 58128 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 4534, 5472, 58128?
Answer: HCF of 4534, 5472, 58128 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4534, 5472, 58128 using Euclid's Algorithm?
Answer: For arbitrary numbers 4534, 5472, 58128 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
