Highest Common Factor of 6318, 4667 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 6318, 4667 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 6318, 4667 is 13 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 6318, 4667 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 6318, 4667 is 13.
HCF(6318, 4667) = 13
HCF of 6318, 4667 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6318, 4667 is 13.
Highest Common Factor of 6318,4667 is 13
Step 1: Since 6318 > 4667, we apply the division lemma to 6318 and 4667, to get
6318 = 4667 x 1 + 1651
Step 2: Since the reminder 4667 ≠ 0, we apply division lemma to 1651 and 4667, to get
4667 = 1651 x 2 + 1365
Step 3: We consider the new divisor 1651 and the new remainder 1365, and apply the division lemma to get
1651 = 1365 x 1 + 286
We consider the new divisor 1365 and the new remainder 286,and apply the division lemma to get
1365 = 286 x 4 + 221
We consider the new divisor 286 and the new remainder 221,and apply the division lemma to get
286 = 221 x 1 + 65
We consider the new divisor 221 and the new remainder 65,and apply the division lemma to get
221 = 65 x 3 + 26
We consider the new divisor 65 and the new remainder 26,and apply the division lemma to get
65 = 26 x 2 + 13
We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get
26 = 13 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 6318 and 4667 is 13
Notice that 13 = HCF(26,13) = HCF(65,26) = HCF(221,65) = HCF(286,221) = HCF(1365,286) = HCF(1651,1365) = HCF(4667,1651) = HCF(6318,4667) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6318, 4667 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 6318, 4667?
Answer: HCF of 6318, 4667 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6318, 4667 using Euclid's Algorithm?
Answer: For arbitrary numbers 6318, 4667 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.