Highest Common Factor of 9373, 9142 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 9373, 9142 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9373, 9142 is 7 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 9373, 9142 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 9373, 9142 is 7.
HCF(9373, 9142) = 7
HCF of 9373, 9142 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9373, 9142 is 7.
Highest Common Factor of 9373,9142 is 7
Step 1: Since 9373 > 9142, we apply the division lemma to 9373 and 9142, to get
9373 = 9142 x 1 + 231
Step 2: Since the reminder 9142 ≠ 0, we apply division lemma to 231 and 9142, to get
9142 = 231 x 39 + 133
Step 3: We consider the new divisor 231 and the new remainder 133, and apply the division lemma to get
231 = 133 x 1 + 98
We consider the new divisor 133 and the new remainder 98,and apply the division lemma to get
133 = 98 x 1 + 35
We consider the new divisor 98 and the new remainder 35,and apply the division lemma to get
98 = 35 x 2 + 28
We consider the new divisor 35 and the new remainder 28,and apply the division lemma to get
35 = 28 x 1 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9373 and 9142 is 7
Notice that 7 = HCF(28,7) = HCF(35,28) = HCF(98,35) = HCF(133,98) = HCF(231,133) = HCF(9142,231) = HCF(9373,9142) .
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Frequently Asked Questions on HCF of 9373, 9142 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 9373, 9142?
Answer: HCF of 9373, 9142 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9373, 9142 using Euclid's Algorithm?
Answer: For arbitrary numbers 9373, 9142 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.