Highest Common Factor of 5005, 5180, 90557 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 5005, 5180, 90557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5005, 5180, 90557 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 5005, 5180, 90557 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 5005, 5180, 90557 is 1.
HCF(5005, 5180, 90557) = 1
HCF of 5005, 5180, 90557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5005, 5180, 90557 is 1.
Highest Common Factor of 5005,5180,90557 is 1
Step 1: Since 5180 > 5005, we apply the division lemma to 5180 and 5005, to get
5180 = 5005 x 1 + 175
Step 2: Since the reminder 5005 ≠ 0, we apply division lemma to 175 and 5005, to get
5005 = 175 x 28 + 105
Step 3: We consider the new divisor 175 and the new remainder 105, and apply the division lemma to get
175 = 105 x 1 + 70
We consider the new divisor 105 and the new remainder 70,and apply the division lemma to get
105 = 70 x 1 + 35
We consider the new divisor 70 and the new remainder 35,and apply the division lemma to get
70 = 35 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 5005 and 5180 is 35
Notice that 35 = HCF(70,35) = HCF(105,70) = HCF(175,105) = HCF(5005,175) = HCF(5180,5005) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90557 > 35, we apply the division lemma to 90557 and 35, to get
90557 = 35 x 2587 + 12
Step 2: Since the reminder 35 ≠ 0, we apply division lemma to 12 and 35, to get
35 = 12 x 2 + 11
Step 3: We consider the new divisor 12 and the new remainder 11, and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1, and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 35 and 90557 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(35,12) = HCF(90557,35) .
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Frequently Asked Questions on HCF of 5005, 5180, 90557 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 5005, 5180, 90557?
Answer: HCF of 5005, 5180, 90557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5005, 5180, 90557 using Euclid's Algorithm?
Answer: For arbitrary numbers 5005, 5180, 90557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.