Highest Common Factor of 8753, 9192 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 8753, 9192 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8753, 9192 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 8753, 9192 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 8753, 9192 is 1.
HCF(8753, 9192) = 1
HCF of 8753, 9192 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8753, 9192 is 1.
Highest Common Factor of 8753,9192 is 1
Step 1: Since 9192 > 8753, we apply the division lemma to 9192 and 8753, to get
9192 = 8753 x 1 + 439
Step 2: Since the reminder 8753 ≠ 0, we apply division lemma to 439 and 8753, to get
8753 = 439 x 19 + 412
Step 3: We consider the new divisor 439 and the new remainder 412, and apply the division lemma to get
439 = 412 x 1 + 27
We consider the new divisor 412 and the new remainder 27,and apply the division lemma to get
412 = 27 x 15 + 7
We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get
27 = 7 x 3 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8753 and 9192 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(412,27) = HCF(439,412) = HCF(8753,439) = HCF(9192,8753) .
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Frequently Asked Questions on HCF of 8753, 9192 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 8753, 9192?
Answer: HCF of 8753, 9192 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8753, 9192 using Euclid's Algorithm?
Answer: For arbitrary numbers 8753, 9192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.