Highest Common Factor of 787, 538 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 787, 538 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 787, 538 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 787, 538 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 787, 538 is 1.
HCF(787, 538) = 1
HCF of 787, 538 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 787, 538 is 1.
Highest Common Factor of 787,538 is 1
Step 1: Since 787 > 538, we apply the division lemma to 787 and 538, to get
787 = 538 x 1 + 249
Step 2: Since the reminder 538 ≠ 0, we apply division lemma to 249 and 538, to get
538 = 249 x 2 + 40
Step 3: We consider the new divisor 249 and the new remainder 40, and apply the division lemma to get
249 = 40 x 6 + 9
We consider the new divisor 40 and the new remainder 9,and apply the division lemma to get
40 = 9 x 4 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 787 and 538 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(40,9) = HCF(249,40) = HCF(538,249) = HCF(787,538) .
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Frequently Asked Questions on HCF of 787, 538 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 787, 538?
Answer: HCF of 787, 538 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 787, 538 using Euclid's Algorithm?
Answer: For arbitrary numbers 787, 538 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.