Highest Common Factor of 1075, 9313 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 1075, 9313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1075, 9313 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 1075, 9313 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 1075, 9313 is 1.
HCF(1075, 9313) = 1
HCF of 1075, 9313 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1075, 9313 is 1.
Highest Common Factor of 1075,9313 is 1
Step 1: Since 9313 > 1075, we apply the division lemma to 9313 and 1075, to get
9313 = 1075 x 8 + 713
Step 2: Since the reminder 1075 ≠ 0, we apply division lemma to 713 and 1075, to get
1075 = 713 x 1 + 362
Step 3: We consider the new divisor 713 and the new remainder 362, and apply the division lemma to get
713 = 362 x 1 + 351
We consider the new divisor 362 and the new remainder 351,and apply the division lemma to get
362 = 351 x 1 + 11
We consider the new divisor 351 and the new remainder 11,and apply the division lemma to get
351 = 11 x 31 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1075 and 9313 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(351,11) = HCF(362,351) = HCF(713,362) = HCF(1075,713) = HCF(9313,1075) .
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Frequently Asked Questions on HCF of 1075, 9313 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 1075, 9313?
Answer: HCF of 1075, 9313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1075, 9313 using Euclid's Algorithm?
Answer: For arbitrary numbers 1075, 9313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.