Highest Common Factor of 1790, 8465 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 1790, 8465 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 1790, 8465 is 5 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 1790, 8465 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 1790, 8465 is 5.
HCF(1790, 8465) = 5
HCF of 1790, 8465 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1790, 8465 is 5.
Highest Common Factor of 1790,8465 is 5
Step 1: Since 8465 > 1790, we apply the division lemma to 8465 and 1790, to get
8465 = 1790 x 4 + 1305
Step 2: Since the reminder 1790 ≠ 0, we apply division lemma to 1305 and 1790, to get
1790 = 1305 x 1 + 485
Step 3: We consider the new divisor 1305 and the new remainder 485, and apply the division lemma to get
1305 = 485 x 2 + 335
We consider the new divisor 485 and the new remainder 335,and apply the division lemma to get
485 = 335 x 1 + 150
We consider the new divisor 335 and the new remainder 150,and apply the division lemma to get
335 = 150 x 2 + 35
We consider the new divisor 150 and the new remainder 35,and apply the division lemma to get
150 = 35 x 4 + 10
We consider the new divisor 35 and the new remainder 10,and apply the division lemma to get
35 = 10 x 3 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 1790 and 8465 is 5
Notice that 5 = HCF(10,5) = HCF(35,10) = HCF(150,35) = HCF(335,150) = HCF(485,335) = HCF(1305,485) = HCF(1790,1305) = HCF(8465,1790) .
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Frequently Asked Questions on HCF of 1790, 8465 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 1790, 8465?
Answer: HCF of 1790, 8465 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1790, 8465 using Euclid's Algorithm?
Answer: For arbitrary numbers 1790, 8465 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.