Highest Common Factor of 5018, 6887, 90967 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 5018, 6887, 90967 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5018, 6887, 90967 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 5018, 6887, 90967 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 5018, 6887, 90967 is 1.
HCF(5018, 6887, 90967) = 1
HCF of 5018, 6887, 90967 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5018, 6887, 90967 is 1.
Highest Common Factor of 5018,6887,90967 is 1
Step 1: Since 6887 > 5018, we apply the division lemma to 6887 and 5018, to get
6887 = 5018 x 1 + 1869
Step 2: Since the reminder 5018 ≠ 0, we apply division lemma to 1869 and 5018, to get
5018 = 1869 x 2 + 1280
Step 3: We consider the new divisor 1869 and the new remainder 1280, and apply the division lemma to get
1869 = 1280 x 1 + 589
We consider the new divisor 1280 and the new remainder 589,and apply the division lemma to get
1280 = 589 x 2 + 102
We consider the new divisor 589 and the new remainder 102,and apply the division lemma to get
589 = 102 x 5 + 79
We consider the new divisor 102 and the new remainder 79,and apply the division lemma to get
102 = 79 x 1 + 23
We consider the new divisor 79 and the new remainder 23,and apply the division lemma to get
79 = 23 x 3 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5018 and 6887 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(79,23) = HCF(102,79) = HCF(589,102) = HCF(1280,589) = HCF(1869,1280) = HCF(5018,1869) = HCF(6887,5018) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 90967 > 1, we apply the division lemma to 90967 and 1, to get
90967 = 1 x 90967 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 90967 is 1
Notice that 1 = HCF(90967,1) .
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Frequently Asked Questions on HCF of 5018, 6887, 90967 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 5018, 6887, 90967?
Answer: HCF of 5018, 6887, 90967 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5018, 6887, 90967 using Euclid's Algorithm?
Answer: For arbitrary numbers 5018, 6887, 90967 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.