Highest Common Factor of 9141, 7882 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 9141, 7882 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9141, 7882 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 9141, 7882 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 9141, 7882 is 1.
HCF(9141, 7882) = 1
HCF of 9141, 7882 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9141, 7882 is 1.
Highest Common Factor of 9141,7882 is 1
Step 1: Since 9141 > 7882, we apply the division lemma to 9141 and 7882, to get
9141 = 7882 x 1 + 1259
Step 2: Since the reminder 7882 ≠ 0, we apply division lemma to 1259 and 7882, to get
7882 = 1259 x 6 + 328
Step 3: We consider the new divisor 1259 and the new remainder 328, and apply the division lemma to get
1259 = 328 x 3 + 275
We consider the new divisor 328 and the new remainder 275,and apply the division lemma to get
328 = 275 x 1 + 53
We consider the new divisor 275 and the new remainder 53,and apply the division lemma to get
275 = 53 x 5 + 10
We consider the new divisor 53 and the new remainder 10,and apply the division lemma to get
53 = 10 x 5 + 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 9141 and 7882 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(53,10) = HCF(275,53) = HCF(328,275) = HCF(1259,328) = HCF(7882,1259) = HCF(9141,7882) .
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Frequently Asked Questions on HCF of 9141, 7882 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 9141, 7882?
Answer: HCF of 9141, 7882 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9141, 7882 using Euclid's Algorithm?
Answer: For arbitrary numbers 9141, 7882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.