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 6079, 5111 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6079, 5111 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 6079, 5111 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 6079, 5111 is 1.
HCF(6079, 5111) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6079, 5111 is 1.
Step 1: Since 6079 > 5111, we apply the division lemma to 6079 and 5111, to get
6079 = 5111 x 1 + 968
Step 2: Since the reminder 5111 ≠ 0, we apply division lemma to 968 and 5111, to get
5111 = 968 x 5 + 271
Step 3: We consider the new divisor 968 and the new remainder 271, and apply the division lemma to get
968 = 271 x 3 + 155
We consider the new divisor 271 and the new remainder 155,and apply the division lemma to get
271 = 155 x 1 + 116
We consider the new divisor 155 and the new remainder 116,and apply the division lemma to get
155 = 116 x 1 + 39
We consider the new divisor 116 and the new remainder 39,and apply the division lemma to get
116 = 39 x 2 + 38
We consider the new divisor 39 and the new remainder 38,and apply the division lemma to get
39 = 38 x 1 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6079 and 5111 is 1
Notice that 1 = HCF(38,1) = HCF(39,38) = HCF(116,39) = HCF(155,116) = HCF(271,155) = HCF(968,271) = HCF(5111,968) = HCF(6079,5111) .
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 6079, 5111?
Answer: HCF of 6079, 5111 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6079, 5111 using Euclid's Algorithm?
Answer: For arbitrary numbers 6079, 5111 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.