Highest Common Factor of 3563, 4938 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 3563, 4938 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3563, 4938 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 3563, 4938 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 3563, 4938 is 1.
HCF(3563, 4938) = 1
HCF of 3563, 4938 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3563, 4938 is 1.
Highest Common Factor of 3563,4938 is 1
Step 1: Since 4938 > 3563, we apply the division lemma to 4938 and 3563, to get
4938 = 3563 x 1 + 1375
Step 2: Since the reminder 3563 ≠ 0, we apply division lemma to 1375 and 3563, to get
3563 = 1375 x 2 + 813
Step 3: We consider the new divisor 1375 and the new remainder 813, and apply the division lemma to get
1375 = 813 x 1 + 562
We consider the new divisor 813 and the new remainder 562,and apply the division lemma to get
813 = 562 x 1 + 251
We consider the new divisor 562 and the new remainder 251,and apply the division lemma to get
562 = 251 x 2 + 60
We consider the new divisor 251 and the new remainder 60,and apply the division lemma to get
251 = 60 x 4 + 11
We consider the new divisor 60 and the new remainder 11,and apply the division lemma to get
60 = 11 x 5 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3563 and 4938 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(60,11) = HCF(251,60) = HCF(562,251) = HCF(813,562) = HCF(1375,813) = HCF(3563,1375) = HCF(4938,3563) .
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Frequently Asked Questions on HCF of 3563, 4938 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 3563, 4938?
Answer: HCF of 3563, 4938 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3563, 4938 using Euclid's Algorithm?
Answer: For arbitrary numbers 3563, 4938 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.