Highest Common Factor of 7321, 7192 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 7321, 7192 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7321, 7192 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 7321, 7192 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 7321, 7192 is 1.
HCF(7321, 7192) = 1
HCF of 7321, 7192 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7321, 7192 is 1.
Highest Common Factor of 7321,7192 is 1
Step 1: Since 7321 > 7192, we apply the division lemma to 7321 and 7192, to get
7321 = 7192 x 1 + 129
Step 2: Since the reminder 7192 ≠ 0, we apply division lemma to 129 and 7192, to get
7192 = 129 x 55 + 97
Step 3: We consider the new divisor 129 and the new remainder 97, and apply the division lemma to get
129 = 97 x 1 + 32
We consider the new divisor 97 and the new remainder 32,and apply the division lemma to get
97 = 32 x 3 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7321 and 7192 is 1
Notice that 1 = HCF(32,1) = HCF(97,32) = HCF(129,97) = HCF(7192,129) = HCF(7321,7192) .
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Frequently Asked Questions on HCF of 7321, 7192 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 7321, 7192?
Answer: HCF of 7321, 7192 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7321, 7192 using Euclid's Algorithm?
Answer: For arbitrary numbers 7321, 7192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.