Highest Common Factor of 4575, 7691 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 4575, 7691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4575, 7691 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 4575, 7691 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 4575, 7691 is 1.
HCF(4575, 7691) = 1
HCF of 4575, 7691 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4575, 7691 is 1.
Highest Common Factor of 4575,7691 is 1
Step 1: Since 7691 > 4575, we apply the division lemma to 7691 and 4575, to get
7691 = 4575 x 1 + 3116
Step 2: Since the reminder 4575 ≠ 0, we apply division lemma to 3116 and 4575, to get
4575 = 3116 x 1 + 1459
Step 3: We consider the new divisor 3116 and the new remainder 1459, and apply the division lemma to get
3116 = 1459 x 2 + 198
We consider the new divisor 1459 and the new remainder 198,and apply the division lemma to get
1459 = 198 x 7 + 73
We consider the new divisor 198 and the new remainder 73,and apply the division lemma to get
198 = 73 x 2 + 52
We consider the new divisor 73 and the new remainder 52,and apply the division lemma to get
73 = 52 x 1 + 21
We consider the new divisor 52 and the new remainder 21,and apply the division lemma to get
52 = 21 x 2 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4575 and 7691 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(52,21) = HCF(73,52) = HCF(198,73) = HCF(1459,198) = HCF(3116,1459) = HCF(4575,3116) = HCF(7691,4575) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4575, 7691 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 4575, 7691?
Answer: HCF of 4575, 7691 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4575, 7691 using Euclid's Algorithm?
Answer: For arbitrary numbers 4575, 7691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.