Highest Common Factor of 4867, 8975 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 4867, 8975 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4867, 8975 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 4867, 8975 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 4867, 8975 is 1.
HCF(4867, 8975) = 1
HCF of 4867, 8975 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4867, 8975 is 1.
Highest Common Factor of 4867,8975 is 1
Step 1: Since 8975 > 4867, we apply the division lemma to 8975 and 4867, to get
8975 = 4867 x 1 + 4108
Step 2: Since the reminder 4867 ≠ 0, we apply division lemma to 4108 and 4867, to get
4867 = 4108 x 1 + 759
Step 3: We consider the new divisor 4108 and the new remainder 759, and apply the division lemma to get
4108 = 759 x 5 + 313
We consider the new divisor 759 and the new remainder 313,and apply the division lemma to get
759 = 313 x 2 + 133
We consider the new divisor 313 and the new remainder 133,and apply the division lemma to get
313 = 133 x 2 + 47
We consider the new divisor 133 and the new remainder 47,and apply the division lemma to get
133 = 47 x 2 + 39
We consider the new divisor 47 and the new remainder 39,and apply the division lemma to get
47 = 39 x 1 + 8
We consider the new divisor 39 and the new remainder 8,and apply the division lemma to get
39 = 8 x 4 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4867 and 8975 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(39,8) = HCF(47,39) = HCF(133,47) = HCF(313,133) = HCF(759,313) = HCF(4108,759) = HCF(4867,4108) = HCF(8975,4867) .
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Frequently Asked Questions on HCF of 4867, 8975 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 4867, 8975?
Answer: HCF of 4867, 8975 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4867, 8975 using Euclid's Algorithm?
Answer: For arbitrary numbers 4867, 8975 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.