Highest Common Factor of 3117, 9269, 83947 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 3117, 9269, 83947 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3117, 9269, 83947 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 3117, 9269, 83947 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 3117, 9269, 83947 is 1.
HCF(3117, 9269, 83947) = 1
HCF of 3117, 9269, 83947 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3117, 9269, 83947 is 1.
Highest Common Factor of 3117,9269,83947 is 1
Step 1: Since 9269 > 3117, we apply the division lemma to 9269 and 3117, to get
9269 = 3117 x 2 + 3035
Step 2: Since the reminder 3117 ≠ 0, we apply division lemma to 3035 and 3117, to get
3117 = 3035 x 1 + 82
Step 3: We consider the new divisor 3035 and the new remainder 82, and apply the division lemma to get
3035 = 82 x 37 + 1
We consider the new divisor 82 and the new remainder 1, and apply the division lemma to get
82 = 1 x 82 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3117 and 9269 is 1
Notice that 1 = HCF(82,1) = HCF(3035,82) = HCF(3117,3035) = HCF(9269,3117) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83947 > 1, we apply the division lemma to 83947 and 1, to get
83947 = 1 x 83947 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83947 is 1
Notice that 1 = HCF(83947,1) .
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Frequently Asked Questions on HCF of 3117, 9269, 83947 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 3117, 9269, 83947?
Answer: HCF of 3117, 9269, 83947 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3117, 9269, 83947 using Euclid's Algorithm?
Answer: For arbitrary numbers 3117, 9269, 83947 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
