Highest Common Factor of 3719, 3282 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 3719, 3282 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3719, 3282 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 3719, 3282 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 3719, 3282 is 1.
HCF(3719, 3282) = 1
HCF of 3719, 3282 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3719, 3282 is 1.
Highest Common Factor of 3719,3282 is 1
Step 1: Since 3719 > 3282, we apply the division lemma to 3719 and 3282, to get
3719 = 3282 x 1 + 437
Step 2: Since the reminder 3282 ≠ 0, we apply division lemma to 437 and 3282, to get
3282 = 437 x 7 + 223
Step 3: We consider the new divisor 437 and the new remainder 223, and apply the division lemma to get
437 = 223 x 1 + 214
We consider the new divisor 223 and the new remainder 214,and apply the division lemma to get
223 = 214 x 1 + 9
We consider the new divisor 214 and the new remainder 9,and apply the division lemma to get
214 = 9 x 23 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 3719 and 3282 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(214,9) = HCF(223,214) = HCF(437,223) = HCF(3282,437) = HCF(3719,3282) .
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Frequently Asked Questions on HCF of 3719, 3282 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 3719, 3282?
Answer: HCF of 3719, 3282 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3719, 3282 using Euclid's Algorithm?
Answer: For arbitrary numbers 3719, 3282 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.