Highest Common Factor of 3207, 5370 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 3207, 5370 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3207, 5370 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 3207, 5370 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 3207, 5370 is 3.
HCF(3207, 5370) = 3
HCF of 3207, 5370 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3207, 5370 is 3.
Highest Common Factor of 3207,5370 is 3
Step 1: Since 5370 > 3207, we apply the division lemma to 5370 and 3207, to get
5370 = 3207 x 1 + 2163
Step 2: Since the reminder 3207 ≠ 0, we apply division lemma to 2163 and 3207, to get
3207 = 2163 x 1 + 1044
Step 3: We consider the new divisor 2163 and the new remainder 1044, and apply the division lemma to get
2163 = 1044 x 2 + 75
We consider the new divisor 1044 and the new remainder 75,and apply the division lemma to get
1044 = 75 x 13 + 69
We consider the new divisor 75 and the new remainder 69,and apply the division lemma to get
75 = 69 x 1 + 6
We consider the new divisor 69 and the new remainder 6,and apply the division lemma to get
69 = 6 x 11 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3207 and 5370 is 3
Notice that 3 = HCF(6,3) = HCF(69,6) = HCF(75,69) = HCF(1044,75) = HCF(2163,1044) = HCF(3207,2163) = HCF(5370,3207) .
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Frequently Asked Questions on HCF of 3207, 5370 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 3207, 5370?
Answer: HCF of 3207, 5370 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3207, 5370 using Euclid's Algorithm?
Answer: For arbitrary numbers 3207, 5370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.