Highest Common Factor of 6089, 7081 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 6089, 7081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6089, 7081 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 6089, 7081 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 6089, 7081 is 1.
HCF(6089, 7081) = 1
HCF of 6089, 7081 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6089, 7081 is 1.
Highest Common Factor of 6089,7081 is 1
Step 1: Since 7081 > 6089, we apply the division lemma to 7081 and 6089, to get
7081 = 6089 x 1 + 992
Step 2: Since the reminder 6089 ≠ 0, we apply division lemma to 992 and 6089, to get
6089 = 992 x 6 + 137
Step 3: We consider the new divisor 992 and the new remainder 137, and apply the division lemma to get
992 = 137 x 7 + 33
We consider the new divisor 137 and the new remainder 33,and apply the division lemma to get
137 = 33 x 4 + 5
We consider the new divisor 33 and the new remainder 5,and apply the division lemma to get
33 = 5 x 6 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 6089 and 7081 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(33,5) = HCF(137,33) = HCF(992,137) = HCF(6089,992) = HCF(7081,6089) .
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Frequently Asked Questions on HCF of 6089, 7081 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 6089, 7081?
Answer: HCF of 6089, 7081 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6089, 7081 using Euclid's Algorithm?
Answer: For arbitrary numbers 6089, 7081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.