Highest Common Factor of 505, 783 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 505, 783 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 505, 783 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 505, 783 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 505, 783 is 1.
HCF(505, 783) = 1
HCF of 505, 783 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 505, 783 is 1.
Highest Common Factor of 505,783 is 1
Step 1: Since 783 > 505, we apply the division lemma to 783 and 505, to get
783 = 505 x 1 + 278
Step 2: Since the reminder 505 ≠ 0, we apply division lemma to 278 and 505, to get
505 = 278 x 1 + 227
Step 3: We consider the new divisor 278 and the new remainder 227, and apply the division lemma to get
278 = 227 x 1 + 51
We consider the new divisor 227 and the new remainder 51,and apply the division lemma to get
227 = 51 x 4 + 23
We consider the new divisor 51 and the new remainder 23,and apply the division lemma to get
51 = 23 x 2 + 5
We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get
23 = 5 x 4 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 505 and 783 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(51,23) = HCF(227,51) = HCF(278,227) = HCF(505,278) = HCF(783,505) .
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Frequently Asked Questions on HCF of 505, 783 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 505, 783?
Answer: HCF of 505, 783 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 505, 783 using Euclid's Algorithm?
Answer: For arbitrary numbers 505, 783 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
