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 7271, 9527 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7271, 9527 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 7271, 9527 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 7271, 9527 is 1.
HCF(7271, 9527) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7271, 9527 is 1.
Step 1: Since 9527 > 7271, we apply the division lemma to 9527 and 7271, to get
9527 = 7271 x 1 + 2256
Step 2: Since the reminder 7271 ≠ 0, we apply division lemma to 2256 and 7271, to get
7271 = 2256 x 3 + 503
Step 3: We consider the new divisor 2256 and the new remainder 503, and apply the division lemma to get
2256 = 503 x 4 + 244
We consider the new divisor 503 and the new remainder 244,and apply the division lemma to get
503 = 244 x 2 + 15
We consider the new divisor 244 and the new remainder 15,and apply the division lemma to get
244 = 15 x 16 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 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 7271 and 9527 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(244,15) = HCF(503,244) = HCF(2256,503) = HCF(7271,2256) = HCF(9527,7271) .
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 7271, 9527?
Answer: HCF of 7271, 9527 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7271, 9527 using Euclid's Algorithm?
Answer: For arbitrary numbers 7271, 9527 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.