Highest Common Factor of 6542, 4675 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 6542, 4675 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6542, 4675 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 6542, 4675 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 6542, 4675 is 1.
HCF(6542, 4675) = 1
HCF of 6542, 4675 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6542, 4675 is 1.
Highest Common Factor of 6542,4675 is 1
Step 1: Since 6542 > 4675, we apply the division lemma to 6542 and 4675, to get
6542 = 4675 x 1 + 1867
Step 2: Since the reminder 4675 ≠ 0, we apply division lemma to 1867 and 4675, to get
4675 = 1867 x 2 + 941
Step 3: We consider the new divisor 1867 and the new remainder 941, and apply the division lemma to get
1867 = 941 x 1 + 926
We consider the new divisor 941 and the new remainder 926,and apply the division lemma to get
941 = 926 x 1 + 15
We consider the new divisor 926 and the new remainder 15,and apply the division lemma to get
926 = 15 x 61 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6542 and 4675 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(926,15) = HCF(941,926) = HCF(1867,941) = HCF(4675,1867) = HCF(6542,4675) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6542, 4675 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 6542, 4675?
Answer: HCF of 6542, 4675 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6542, 4675 using Euclid's Algorithm?
Answer: For arbitrary numbers 6542, 4675 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
