Highest Common Factor of 4313, 869 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 4313, 869 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4313, 869 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 4313, 869 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 4313, 869 is 1.
HCF(4313, 869) = 1
HCF of 4313, 869 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4313, 869 is 1.
Highest Common Factor of 4313,869 is 1
Step 1: Since 4313 > 869, we apply the division lemma to 4313 and 869, to get
4313 = 869 x 4 + 837
Step 2: Since the reminder 869 ≠ 0, we apply division lemma to 837 and 869, to get
869 = 837 x 1 + 32
Step 3: We consider the new divisor 837 and the new remainder 32, and apply the division lemma to get
837 = 32 x 26 + 5
We consider the new divisor 32 and the new remainder 5,and apply the division lemma to get
32 = 5 x 6 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4313 and 869 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(32,5) = HCF(837,32) = HCF(869,837) = HCF(4313,869) .
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Frequently Asked Questions on HCF of 4313, 869 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 4313, 869?
Answer: HCF of 4313, 869 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4313, 869 using Euclid's Algorithm?
Answer: For arbitrary numbers 4313, 869 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.