Highest Common Factor of 8746, 9301 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 8746, 9301 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8746, 9301 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 8746, 9301 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 8746, 9301 is 1.
HCF(8746, 9301) = 1
HCF of 8746, 9301 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8746, 9301 is 1.
Highest Common Factor of 8746,9301 is 1
Step 1: Since 9301 > 8746, we apply the division lemma to 9301 and 8746, to get
9301 = 8746 x 1 + 555
Step 2: Since the reminder 8746 ≠ 0, we apply division lemma to 555 and 8746, to get
8746 = 555 x 15 + 421
Step 3: We consider the new divisor 555 and the new remainder 421, and apply the division lemma to get
555 = 421 x 1 + 134
We consider the new divisor 421 and the new remainder 134,and apply the division lemma to get
421 = 134 x 3 + 19
We consider the new divisor 134 and the new remainder 19,and apply the division lemma to get
134 = 19 x 7 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8746 and 9301 is 1
Notice that 1 = HCF(19,1) = HCF(134,19) = HCF(421,134) = HCF(555,421) = HCF(8746,555) = HCF(9301,8746) .
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Frequently Asked Questions on HCF of 8746, 9301 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 8746, 9301?
Answer: HCF of 8746, 9301 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8746, 9301 using Euclid's Algorithm?
Answer: For arbitrary numbers 8746, 9301 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.