Highest Common Factor of 5020, 5332, 56081 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 5020, 5332, 56081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5020, 5332, 56081 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 5020, 5332, 56081 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 5020, 5332, 56081 is 1.
HCF(5020, 5332, 56081) = 1
HCF of 5020, 5332, 56081 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5020, 5332, 56081 is 1.
Highest Common Factor of 5020,5332,56081 is 1
Step 1: Since 5332 > 5020, we apply the division lemma to 5332 and 5020, to get
5332 = 5020 x 1 + 312
Step 2: Since the reminder 5020 ≠ 0, we apply division lemma to 312 and 5020, to get
5020 = 312 x 16 + 28
Step 3: We consider the new divisor 312 and the new remainder 28, and apply the division lemma to get
312 = 28 x 11 + 4
We consider the new divisor 28 and the new remainder 4, and apply the division lemma 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 5020 and 5332 is 4
Notice that 4 = HCF(28,4) = HCF(312,28) = HCF(5020,312) = HCF(5332,5020) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56081 > 4, we apply the division lemma to 56081 and 4, to get
56081 = 4 x 14020 + 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 56081 is 1
Notice that 1 = HCF(4,1) = HCF(56081,4) .
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Frequently Asked Questions on HCF of 5020, 5332, 56081 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 5020, 5332, 56081?
Answer: HCF of 5020, 5332, 56081 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5020, 5332, 56081 using Euclid's Algorithm?
Answer: For arbitrary numbers 5020, 5332, 56081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.