Highest Common Factor of 3213, 7192 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 3213, 7192 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3213, 7192 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 3213, 7192 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 3213, 7192 is 1.
HCF(3213, 7192) = 1
HCF of 3213, 7192 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3213, 7192 is 1.
Highest Common Factor of 3213,7192 is 1
Step 1: Since 7192 > 3213, we apply the division lemma to 7192 and 3213, to get
7192 = 3213 x 2 + 766
Step 2: Since the reminder 3213 ≠ 0, we apply division lemma to 766 and 3213, to get
3213 = 766 x 4 + 149
Step 3: We consider the new divisor 766 and the new remainder 149, and apply the division lemma to get
766 = 149 x 5 + 21
We consider the new divisor 149 and the new remainder 21,and apply the division lemma to get
149 = 21 x 7 + 2
We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get
21 = 2 x 10 + 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 3213 and 7192 is 1
Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(149,21) = HCF(766,149) = HCF(3213,766) = HCF(7192,3213) .
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Frequently Asked Questions on HCF of 3213, 7192 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 3213, 7192?
Answer: HCF of 3213, 7192 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3213, 7192 using Euclid's Algorithm?
Answer: For arbitrary numbers 3213, 7192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
