Highest Common Factor of 4938, 2243 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 4938, 2243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4938, 2243 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 4938, 2243 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 4938, 2243 is 1.
HCF(4938, 2243) = 1
HCF of 4938, 2243 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4938, 2243 is 1.
Highest Common Factor of 4938,2243 is 1
Step 1: Since 4938 > 2243, we apply the division lemma to 4938 and 2243, to get
4938 = 2243 x 2 + 452
Step 2: Since the reminder 2243 ≠ 0, we apply division lemma to 452 and 2243, to get
2243 = 452 x 4 + 435
Step 3: We consider the new divisor 452 and the new remainder 435, and apply the division lemma to get
452 = 435 x 1 + 17
We consider the new divisor 435 and the new remainder 17,and apply the division lemma to get
435 = 17 x 25 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4938 and 2243 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(435,17) = HCF(452,435) = HCF(2243,452) = HCF(4938,2243) .
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Frequently Asked Questions on HCF of 4938, 2243 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 4938, 2243?
Answer: HCF of 4938, 2243 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4938, 2243 using Euclid's Algorithm?
Answer: For arbitrary numbers 4938, 2243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.