Highest Common Factor of 7538, 2442 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 7538, 2442 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7538, 2442 is 2 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 7538, 2442 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 7538, 2442 is 2.
HCF(7538, 2442) = 2
HCF of 7538, 2442 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7538, 2442 is 2.
Highest Common Factor of 7538,2442 is 2
Step 1: Since 7538 > 2442, we apply the division lemma to 7538 and 2442, to get
7538 = 2442 x 3 + 212
Step 2: Since the reminder 2442 ≠ 0, we apply division lemma to 212 and 2442, to get
2442 = 212 x 11 + 110
Step 3: We consider the new divisor 212 and the new remainder 110, and apply the division lemma to get
212 = 110 x 1 + 102
We consider the new divisor 110 and the new remainder 102,and apply the division lemma to get
110 = 102 x 1 + 8
We consider the new divisor 102 and the new remainder 8,and apply the division lemma to get
102 = 8 x 12 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7538 and 2442 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(102,8) = HCF(110,102) = HCF(212,110) = HCF(2442,212) = HCF(7538,2442) .
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Frequently Asked Questions on HCF of 7538, 2442 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 7538, 2442?
Answer: HCF of 7538, 2442 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7538, 2442 using Euclid's Algorithm?
Answer: For arbitrary numbers 7538, 2442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
