Highest Common Factor of 3186, 9971 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 3186, 9971 i.e. 59 the largest integer that leaves a remainder zero for all numbers.
HCF of 3186, 9971 is 59 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 3186, 9971 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 3186, 9971 is 59.
HCF(3186, 9971) = 59
HCF of 3186, 9971 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3186, 9971 is 59.
Highest Common Factor of 3186,9971 is 59
Step 1: Since 9971 > 3186, we apply the division lemma to 9971 and 3186, to get
9971 = 3186 x 3 + 413
Step 2: Since the reminder 3186 ≠ 0, we apply division lemma to 413 and 3186, to get
3186 = 413 x 7 + 295
Step 3: We consider the new divisor 413 and the new remainder 295, and apply the division lemma to get
413 = 295 x 1 + 118
We consider the new divisor 295 and the new remainder 118,and apply the division lemma to get
295 = 118 x 2 + 59
We consider the new divisor 118 and the new remainder 59,and apply the division lemma to get
118 = 59 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 59, the HCF of 3186 and 9971 is 59
Notice that 59 = HCF(118,59) = HCF(295,118) = HCF(413,295) = HCF(3186,413) = HCF(9971,3186) .
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Frequently Asked Questions on HCF of 3186, 9971 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 3186, 9971?
Answer: HCF of 3186, 9971 is 59 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3186, 9971 using Euclid's Algorithm?
Answer: For arbitrary numbers 3186, 9971 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.