Highest Common Factor of 8945, 4878 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 8945, 4878 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8945, 4878 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 8945, 4878 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 8945, 4878 is 1.
HCF(8945, 4878) = 1
HCF of 8945, 4878 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8945, 4878 is 1.
Highest Common Factor of 8945,4878 is 1
Step 1: Since 8945 > 4878, we apply the division lemma to 8945 and 4878, to get
8945 = 4878 x 1 + 4067
Step 2: Since the reminder 4878 ≠ 0, we apply division lemma to 4067 and 4878, to get
4878 = 4067 x 1 + 811
Step 3: We consider the new divisor 4067 and the new remainder 811, and apply the division lemma to get
4067 = 811 x 5 + 12
We consider the new divisor 811 and the new remainder 12,and apply the division lemma to get
811 = 12 x 67 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 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 8945 and 4878 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(811,12) = HCF(4067,811) = HCF(4878,4067) = HCF(8945,4878) .
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Frequently Asked Questions on HCF of 8945, 4878 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 8945, 4878?
Answer: HCF of 8945, 4878 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8945, 4878 using Euclid's Algorithm?
Answer: For arbitrary numbers 8945, 4878 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.