Highest Common Factor of 7147, 7529 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 7147, 7529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7147, 7529 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 7147, 7529 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 7147, 7529 is 1.
HCF(7147, 7529) = 1
HCF of 7147, 7529 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7147, 7529 is 1.
Highest Common Factor of 7147,7529 is 1
Step 1: Since 7529 > 7147, we apply the division lemma to 7529 and 7147, to get
7529 = 7147 x 1 + 382
Step 2: Since the reminder 7147 ≠ 0, we apply division lemma to 382 and 7147, to get
7147 = 382 x 18 + 271
Step 3: We consider the new divisor 382 and the new remainder 271, and apply the division lemma to get
382 = 271 x 1 + 111
We consider the new divisor 271 and the new remainder 111,and apply the division lemma to get
271 = 111 x 2 + 49
We consider the new divisor 111 and the new remainder 49,and apply the division lemma to get
111 = 49 x 2 + 13
We consider the new divisor 49 and the new remainder 13,and apply the division lemma to get
49 = 13 x 3 + 10
We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get
13 = 10 x 1 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 7147 and 7529 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(49,13) = HCF(111,49) = HCF(271,111) = HCF(382,271) = HCF(7147,382) = HCF(7529,7147) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7147, 7529 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 7147, 7529?
Answer: HCF of 7147, 7529 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7147, 7529 using Euclid's Algorithm?
Answer: For arbitrary numbers 7147, 7529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.