Highest Common Factor of 8953, 7290 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 8953, 7290 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8953, 7290 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 8953, 7290 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 8953, 7290 is 1.
HCF(8953, 7290) = 1
HCF of 8953, 7290 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8953, 7290 is 1.
Highest Common Factor of 8953,7290 is 1
Step 1: Since 8953 > 7290, we apply the division lemma to 8953 and 7290, to get
8953 = 7290 x 1 + 1663
Step 2: Since the reminder 7290 ≠ 0, we apply division lemma to 1663 and 7290, to get
7290 = 1663 x 4 + 638
Step 3: We consider the new divisor 1663 and the new remainder 638, and apply the division lemma to get
1663 = 638 x 2 + 387
We consider the new divisor 638 and the new remainder 387,and apply the division lemma to get
638 = 387 x 1 + 251
We consider the new divisor 387 and the new remainder 251,and apply the division lemma to get
387 = 251 x 1 + 136
We consider the new divisor 251 and the new remainder 136,and apply the division lemma to get
251 = 136 x 1 + 115
We consider the new divisor 136 and the new remainder 115,and apply the division lemma to get
136 = 115 x 1 + 21
We consider the new divisor 115 and the new remainder 21,and apply the division lemma to get
115 = 21 x 5 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 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 8953 and 7290 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(115,21) = HCF(136,115) = HCF(251,136) = HCF(387,251) = HCF(638,387) = HCF(1663,638) = HCF(7290,1663) = HCF(8953,7290) .
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Frequently Asked Questions on HCF of 8953, 7290 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 8953, 7290?
Answer: HCF of 8953, 7290 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8953, 7290 using Euclid's Algorithm?
Answer: For arbitrary numbers 8953, 7290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.