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 5879, 5016, 31079 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5879, 5016, 31079 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 5879, 5016, 31079 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 5879, 5016, 31079 is 1.
HCF(5879, 5016, 31079) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5879, 5016, 31079 is 1.
Step 1: Since 5879 > 5016, we apply the division lemma to 5879 and 5016, to get
5879 = 5016 x 1 + 863
Step 2: Since the reminder 5016 ≠ 0, we apply division lemma to 863 and 5016, to get
5016 = 863 x 5 + 701
Step 3: We consider the new divisor 863 and the new remainder 701, and apply the division lemma to get
863 = 701 x 1 + 162
We consider the new divisor 701 and the new remainder 162,and apply the division lemma to get
701 = 162 x 4 + 53
We consider the new divisor 162 and the new remainder 53,and apply the division lemma to get
162 = 53 x 3 + 3
We consider the new divisor 53 and the new remainder 3,and apply the division lemma to get
53 = 3 x 17 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5879 and 5016 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(53,3) = HCF(162,53) = HCF(701,162) = HCF(863,701) = HCF(5016,863) = HCF(5879,5016) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 31079 > 1, we apply the division lemma to 31079 and 1, to get
31079 = 1 x 31079 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31079 is 1
Notice that 1 = HCF(31079,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5879, 5016, 31079?
Answer: HCF of 5879, 5016, 31079 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5879, 5016, 31079 using Euclid's Algorithm?
Answer: For arbitrary numbers 5879, 5016, 31079 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.