Highest Common Factor of 4276, 1709 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 4276, 1709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4276, 1709 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 4276, 1709 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 4276, 1709 is 1.
HCF(4276, 1709) = 1
HCF of 4276, 1709 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4276, 1709 is 1.
Highest Common Factor of 4276,1709 is 1
Step 1: Since 4276 > 1709, we apply the division lemma to 4276 and 1709, to get
4276 = 1709 x 2 + 858
Step 2: Since the reminder 1709 ≠ 0, we apply division lemma to 858 and 1709, to get
1709 = 858 x 1 + 851
Step 3: We consider the new divisor 858 and the new remainder 851, and apply the division lemma to get
858 = 851 x 1 + 7
We consider the new divisor 851 and the new remainder 7,and apply the division lemma to get
851 = 7 x 121 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4276 and 1709 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(851,7) = HCF(858,851) = HCF(1709,858) = HCF(4276,1709) .
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Frequently Asked Questions on HCF of 4276, 1709 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 4276, 1709?
Answer: HCF of 4276, 1709 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4276, 1709 using Euclid's Algorithm?
Answer: For arbitrary numbers 4276, 1709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.