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 6392, 4664 i.e. 8 the largest integer that leaves a remainder zero for all numbers.
HCF of 6392, 4664 is 8 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 6392, 4664 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 6392, 4664 is 8.
HCF(6392, 4664) = 8
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6392, 4664 is 8.
Step 1: Since 6392 > 4664, we apply the division lemma to 6392 and 4664, to get
6392 = 4664 x 1 + 1728
Step 2: Since the reminder 4664 ≠ 0, we apply division lemma to 1728 and 4664, to get
4664 = 1728 x 2 + 1208
Step 3: We consider the new divisor 1728 and the new remainder 1208, and apply the division lemma to get
1728 = 1208 x 1 + 520
We consider the new divisor 1208 and the new remainder 520,and apply the division lemma to get
1208 = 520 x 2 + 168
We consider the new divisor 520 and the new remainder 168,and apply the division lemma to get
520 = 168 x 3 + 16
We consider the new divisor 168 and the new remainder 16,and apply the division lemma to get
168 = 16 x 10 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 6392 and 4664 is 8
Notice that 8 = HCF(16,8) = HCF(168,16) = HCF(520,168) = HCF(1208,520) = HCF(1728,1208) = HCF(4664,1728) = HCF(6392,4664) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6392, 4664?
Answer: HCF of 6392, 4664 is 8 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6392, 4664 using Euclid's Algorithm?
Answer: For arbitrary numbers 6392, 4664 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.