Highest Common Factor of 9293, 7270 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 9293, 7270 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9293, 7270 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 9293, 7270 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 9293, 7270 is 1.
HCF(9293, 7270) = 1
HCF of 9293, 7270 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9293, 7270 is 1.
Highest Common Factor of 9293,7270 is 1
Step 1: Since 9293 > 7270, we apply the division lemma to 9293 and 7270, to get
9293 = 7270 x 1 + 2023
Step 2: Since the reminder 7270 ≠ 0, we apply division lemma to 2023 and 7270, to get
7270 = 2023 x 3 + 1201
Step 3: We consider the new divisor 2023 and the new remainder 1201, and apply the division lemma to get
2023 = 1201 x 1 + 822
We consider the new divisor 1201 and the new remainder 822,and apply the division lemma to get
1201 = 822 x 1 + 379
We consider the new divisor 822 and the new remainder 379,and apply the division lemma to get
822 = 379 x 2 + 64
We consider the new divisor 379 and the new remainder 64,and apply the division lemma to get
379 = 64 x 5 + 59
We consider the new divisor 64 and the new remainder 59,and apply the division lemma to get
64 = 59 x 1 + 5
We consider the new divisor 59 and the new remainder 5,and apply the division lemma to get
59 = 5 x 11 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9293 and 7270 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(59,5) = HCF(64,59) = HCF(379,64) = HCF(822,379) = HCF(1201,822) = HCF(2023,1201) = HCF(7270,2023) = HCF(9293,7270) .
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Frequently Asked Questions on HCF of 9293, 7270 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 9293, 7270?
Answer: HCF of 9293, 7270 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9293, 7270 using Euclid's Algorithm?
Answer: For arbitrary numbers 9293, 7270 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.