Highest Common Factor of 4279, 1682 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 4279, 1682 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4279, 1682 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 4279, 1682 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 4279, 1682 is 1.
HCF(4279, 1682) = 1
HCF of 4279, 1682 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4279, 1682 is 1.
Highest Common Factor of 4279,1682 is 1
Step 1: Since 4279 > 1682, we apply the division lemma to 4279 and 1682, to get
4279 = 1682 x 2 + 915
Step 2: Since the reminder 1682 ≠ 0, we apply division lemma to 915 and 1682, to get
1682 = 915 x 1 + 767
Step 3: We consider the new divisor 915 and the new remainder 767, and apply the division lemma to get
915 = 767 x 1 + 148
We consider the new divisor 767 and the new remainder 148,and apply the division lemma to get
767 = 148 x 5 + 27
We consider the new divisor 148 and the new remainder 27,and apply the division lemma to get
148 = 27 x 5 + 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 4279 and 1682 is 1
Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(148,27) = HCF(767,148) = HCF(915,767) = HCF(1682,915) = HCF(4279,1682) .
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Frequently Asked Questions on HCF of 4279, 1682 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 4279, 1682?
Answer: HCF of 4279, 1682 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4279, 1682 using Euclid's Algorithm?
Answer: For arbitrary numbers 4279, 1682 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.