Highest Common Factor of 3283, 1214 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 3283, 1214 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3283, 1214 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 3283, 1214 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 3283, 1214 is 1.
HCF(3283, 1214) = 1
HCF of 3283, 1214 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3283, 1214 is 1.
Highest Common Factor of 3283,1214 is 1
Step 1: Since 3283 > 1214, we apply the division lemma to 3283 and 1214, to get
3283 = 1214 x 2 + 855
Step 2: Since the reminder 1214 ≠ 0, we apply division lemma to 855 and 1214, to get
1214 = 855 x 1 + 359
Step 3: We consider the new divisor 855 and the new remainder 359, and apply the division lemma to get
855 = 359 x 2 + 137
We consider the new divisor 359 and the new remainder 137,and apply the division lemma to get
359 = 137 x 2 + 85
We consider the new divisor 137 and the new remainder 85,and apply the division lemma to get
137 = 85 x 1 + 52
We consider the new divisor 85 and the new remainder 52,and apply the division lemma to get
85 = 52 x 1 + 33
We consider the new divisor 52 and the new remainder 33,and apply the division lemma to get
52 = 33 x 1 + 19
We consider the new divisor 33 and the new remainder 19,and apply the division lemma to get
33 = 19 x 1 + 14
We consider the new divisor 19 and the new remainder 14,and apply the division lemma to get
19 = 14 x 1 + 5
We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get
14 = 5 x 2 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3283 and 1214 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(33,19) = HCF(52,33) = HCF(85,52) = HCF(137,85) = HCF(359,137) = HCF(855,359) = HCF(1214,855) = HCF(3283,1214) .
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Frequently Asked Questions on HCF of 3283, 1214 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 3283, 1214?
Answer: HCF of 3283, 1214 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3283, 1214 using Euclid's Algorithm?
Answer: For arbitrary numbers 3283, 1214 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
