Highest Common Factor of 505, 954 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, 954 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 505, 954 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, 954 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, 954 is 1.
HCF(505, 954) = 1
HCF of 505, 954 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, 954 is 1.
Highest Common Factor of 505,954 is 1
Step 1: Since 954 > 505, we apply the division lemma to 954 and 505, to get
954 = 505 x 1 + 449
Step 2: Since the reminder 505 ≠ 0, we apply division lemma to 449 and 505, to get
505 = 449 x 1 + 56
Step 3: We consider the new divisor 449 and the new remainder 56, and apply the division lemma to get
449 = 56 x 8 + 1
We consider the new divisor 56 and the new remainder 1, and apply the division lemma to get
56 = 1 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 505 and 954 is 1
Notice that 1 = HCF(56,1) = HCF(449,56) = HCF(505,449) = HCF(954,505) .
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Frequently Asked Questions on HCF of 505, 954 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, 954?
Answer: HCF of 505, 954 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 505, 954 using Euclid's Algorithm?
Answer: For arbitrary numbers 505, 954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.