Highest Common Factor of 4277, 1729 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 4277, 1729 i.e. 91 the largest integer that leaves a remainder zero for all numbers.
HCF of 4277, 1729 is 91 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 4277, 1729 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 4277, 1729 is 91.
HCF(4277, 1729) = 91
HCF of 4277, 1729 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4277, 1729 is 91.
Highest Common Factor of 4277,1729 is 91
Step 1: Since 4277 > 1729, we apply the division lemma to 4277 and 1729, to get
4277 = 1729 x 2 + 819
Step 2: Since the reminder 1729 ≠ 0, we apply division lemma to 819 and 1729, to get
1729 = 819 x 2 + 91
Step 3: We consider the new divisor 819 and the new remainder 91, and apply the division lemma to get
819 = 91 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 91, the HCF of 4277 and 1729 is 91
Notice that 91 = HCF(819,91) = HCF(1729,819) = HCF(4277,1729) .
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Frequently Asked Questions on HCF of 4277, 1729 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 4277, 1729?
Answer: HCF of 4277, 1729 is 91 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4277, 1729 using Euclid's Algorithm?
Answer: For arbitrary numbers 4277, 1729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.