Highest Common Factor of 9267, 7581, 50115 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 9267, 7581, 50115 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9267, 7581, 50115 is 3 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 9267, 7581, 50115 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 9267, 7581, 50115 is 3.
HCF(9267, 7581, 50115) = 3
HCF of 9267, 7581, 50115 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9267, 7581, 50115 is 3.
Highest Common Factor of 9267,7581,50115 is 3
Step 1: Since 9267 > 7581, we apply the division lemma to 9267 and 7581, to get
9267 = 7581 x 1 + 1686
Step 2: Since the reminder 7581 ≠ 0, we apply division lemma to 1686 and 7581, to get
7581 = 1686 x 4 + 837
Step 3: We consider the new divisor 1686 and the new remainder 837, and apply the division lemma to get
1686 = 837 x 2 + 12
We consider the new divisor 837 and the new remainder 12,and apply the division lemma to get
837 = 12 x 69 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9267 and 7581 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(837,12) = HCF(1686,837) = HCF(7581,1686) = HCF(9267,7581) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 50115 > 3, we apply the division lemma to 50115 and 3, to get
50115 = 3 x 16705 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 50115 is 3
Notice that 3 = HCF(50115,3) .
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Frequently Asked Questions on HCF of 9267, 7581, 50115 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 9267, 7581, 50115?
Answer: HCF of 9267, 7581, 50115 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9267, 7581, 50115 using Euclid's Algorithm?
Answer: For arbitrary numbers 9267, 7581, 50115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.