Highest Common Factor of 8954, 8313 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 8954, 8313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8954, 8313 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 8954, 8313 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 8954, 8313 is 1.
HCF(8954, 8313) = 1
HCF of 8954, 8313 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8954, 8313 is 1.
Highest Common Factor of 8954,8313 is 1
Step 1: Since 8954 > 8313, we apply the division lemma to 8954 and 8313, to get
8954 = 8313 x 1 + 641
Step 2: Since the reminder 8313 ≠ 0, we apply division lemma to 641 and 8313, to get
8313 = 641 x 12 + 621
Step 3: We consider the new divisor 641 and the new remainder 621, and apply the division lemma to get
641 = 621 x 1 + 20
We consider the new divisor 621 and the new remainder 20,and apply the division lemma to get
621 = 20 x 31 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8954 and 8313 is 1
Notice that 1 = HCF(20,1) = HCF(621,20) = HCF(641,621) = HCF(8313,641) = HCF(8954,8313) .
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Frequently Asked Questions on HCF of 8954, 8313 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 8954, 8313?
Answer: HCF of 8954, 8313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8954, 8313 using Euclid's Algorithm?
Answer: For arbitrary numbers 8954, 8313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.