Highest Common Factor of 903, 7538 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 903, 7538 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 903, 7538 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 903, 7538 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 903, 7538 is 1.
HCF(903, 7538) = 1
HCF of 903, 7538 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 903, 7538 is 1.
Highest Common Factor of 903,7538 is 1
Step 1: Since 7538 > 903, we apply the division lemma to 7538 and 903, to get
7538 = 903 x 8 + 314
Step 2: Since the reminder 903 ≠ 0, we apply division lemma to 314 and 903, to get
903 = 314 x 2 + 275
Step 3: We consider the new divisor 314 and the new remainder 275, and apply the division lemma to get
314 = 275 x 1 + 39
We consider the new divisor 275 and the new remainder 39,and apply the division lemma to get
275 = 39 x 7 + 2
We consider the new divisor 39 and the new remainder 2,and apply the division lemma to get
39 = 2 x 19 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 903 and 7538 is 1
Notice that 1 = HCF(2,1) = HCF(39,2) = HCF(275,39) = HCF(314,275) = HCF(903,314) = HCF(7538,903) .
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Frequently Asked Questions on HCF of 903, 7538 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 903, 7538?
Answer: HCF of 903, 7538 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 903, 7538 using Euclid's Algorithm?
Answer: For arbitrary numbers 903, 7538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.