Highest Common Factor of 523, 751 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 523, 751 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 523, 751 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 523, 751 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 523, 751 is 1.
HCF(523, 751) = 1
HCF of 523, 751 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 523, 751 is 1.
Highest Common Factor of 523,751 is 1
Step 1: Since 751 > 523, we apply the division lemma to 751 and 523, to get
751 = 523 x 1 + 228
Step 2: Since the reminder 523 ≠ 0, we apply division lemma to 228 and 523, to get
523 = 228 x 2 + 67
Step 3: We consider the new divisor 228 and the new remainder 67, and apply the division lemma to get
228 = 67 x 3 + 27
We consider the new divisor 67 and the new remainder 27,and apply the division lemma to get
67 = 27 x 2 + 13
We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get
27 = 13 x 2 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 523 and 751 is 1
Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(67,27) = HCF(228,67) = HCF(523,228) = HCF(751,523) .
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Frequently Asked Questions on HCF of 523, 751 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 523, 751?
Answer: HCF of 523, 751 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 523, 751 using Euclid's Algorithm?
Answer: For arbitrary numbers 523, 751 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.