Highest Common Factor of 3356, 4263 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 3356, 4263 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3356, 4263 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 3356, 4263 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 3356, 4263 is 1.
HCF(3356, 4263) = 1
HCF of 3356, 4263 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3356, 4263 is 1.
Highest Common Factor of 3356,4263 is 1
Step 1: Since 4263 > 3356, we apply the division lemma to 4263 and 3356, to get
4263 = 3356 x 1 + 907
Step 2: Since the reminder 3356 ≠ 0, we apply division lemma to 907 and 3356, to get
3356 = 907 x 3 + 635
Step 3: We consider the new divisor 907 and the new remainder 635, and apply the division lemma to get
907 = 635 x 1 + 272
We consider the new divisor 635 and the new remainder 272,and apply the division lemma to get
635 = 272 x 2 + 91
We consider the new divisor 272 and the new remainder 91,and apply the division lemma to get
272 = 91 x 2 + 90
We consider the new divisor 91 and the new remainder 90,and apply the division lemma to get
91 = 90 x 1 + 1
We consider the new divisor 90 and the new remainder 1,and apply the division lemma to get
90 = 1 x 90 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3356 and 4263 is 1
Notice that 1 = HCF(90,1) = HCF(91,90) = HCF(272,91) = HCF(635,272) = HCF(907,635) = HCF(3356,907) = HCF(4263,3356) .
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Frequently Asked Questions on HCF of 3356, 4263 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 3356, 4263?
Answer: HCF of 3356, 4263 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3356, 4263 using Euclid's Algorithm?
Answer: For arbitrary numbers 3356, 4263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.