Highest Common Factor of 3353, 1781 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 3353, 1781 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3353, 1781 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 3353, 1781 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 3353, 1781 is 1.
HCF(3353, 1781) = 1
HCF of 3353, 1781 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3353, 1781 is 1.
Highest Common Factor of 3353,1781 is 1
Step 1: Since 3353 > 1781, we apply the division lemma to 3353 and 1781, to get
3353 = 1781 x 1 + 1572
Step 2: Since the reminder 1781 ≠ 0, we apply division lemma to 1572 and 1781, to get
1781 = 1572 x 1 + 209
Step 3: We consider the new divisor 1572 and the new remainder 209, and apply the division lemma to get
1572 = 209 x 7 + 109
We consider the new divisor 209 and the new remainder 109,and apply the division lemma to get
209 = 109 x 1 + 100
We consider the new divisor 109 and the new remainder 100,and apply the division lemma to get
109 = 100 x 1 + 9
We consider the new divisor 100 and the new remainder 9,and apply the division lemma to get
100 = 9 x 11 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3353 and 1781 is 1
Notice that 1 = HCF(9,1) = HCF(100,9) = HCF(109,100) = HCF(209,109) = HCF(1572,209) = HCF(1781,1572) = HCF(3353,1781) .
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Frequently Asked Questions on HCF of 3353, 1781 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 3353, 1781?
Answer: HCF of 3353, 1781 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3353, 1781 using Euclid's Algorithm?
Answer: For arbitrary numbers 3353, 1781 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.