Highest Common Factor of 6139, 9075 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 6139, 9075 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6139, 9075 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 6139, 9075 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 6139, 9075 is 1.
HCF(6139, 9075) = 1
HCF of 6139, 9075 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6139, 9075 is 1.
Highest Common Factor of 6139,9075 is 1
Step 1: Since 9075 > 6139, we apply the division lemma to 9075 and 6139, to get
9075 = 6139 x 1 + 2936
Step 2: Since the reminder 6139 ≠ 0, we apply division lemma to 2936 and 6139, to get
6139 = 2936 x 2 + 267
Step 3: We consider the new divisor 2936 and the new remainder 267, and apply the division lemma to get
2936 = 267 x 10 + 266
We consider the new divisor 267 and the new remainder 266,and apply the division lemma to get
267 = 266 x 1 + 1
We consider the new divisor 266 and the new remainder 1,and apply the division lemma to get
266 = 1 x 266 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6139 and 9075 is 1
Notice that 1 = HCF(266,1) = HCF(267,266) = HCF(2936,267) = HCF(6139,2936) = HCF(9075,6139) .
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Frequently Asked Questions on HCF of 6139, 9075 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 6139, 9075?
Answer: HCF of 6139, 9075 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6139, 9075 using Euclid's Algorithm?
Answer: For arbitrary numbers 6139, 9075 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.