Highest Common Factor of 7132, 8201 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 7132, 8201 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7132, 8201 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 7132, 8201 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 7132, 8201 is 1.
HCF(7132, 8201) = 1
HCF of 7132, 8201 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7132, 8201 is 1.
Highest Common Factor of 7132,8201 is 1
Step 1: Since 8201 > 7132, we apply the division lemma to 8201 and 7132, to get
8201 = 7132 x 1 + 1069
Step 2: Since the reminder 7132 ≠ 0, we apply division lemma to 1069 and 7132, to get
7132 = 1069 x 6 + 718
Step 3: We consider the new divisor 1069 and the new remainder 718, and apply the division lemma to get
1069 = 718 x 1 + 351
We consider the new divisor 718 and the new remainder 351,and apply the division lemma to get
718 = 351 x 2 + 16
We consider the new divisor 351 and the new remainder 16,and apply the division lemma to get
351 = 16 x 21 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7132 and 8201 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(351,16) = HCF(718,351) = HCF(1069,718) = HCF(7132,1069) = HCF(8201,7132) .
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Frequently Asked Questions on HCF of 7132, 8201 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 7132, 8201?
Answer: HCF of 7132, 8201 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7132, 8201 using Euclid's Algorithm?
Answer: For arbitrary numbers 7132, 8201 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.