Highest Common Factor of 485, 952, 499 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 485, 952, 499 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 485, 952, 499 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 485, 952, 499 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 485, 952, 499 is 1.
HCF(485, 952, 499) = 1
HCF of 485, 952, 499 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 485, 952, 499 is 1.
Highest Common Factor of 485,952,499 is 1
Step 1: Since 952 > 485, we apply the division lemma to 952 and 485, to get
952 = 485 x 1 + 467
Step 2: Since the reminder 485 ≠ 0, we apply division lemma to 467 and 485, to get
485 = 467 x 1 + 18
Step 3: We consider the new divisor 467 and the new remainder 18, and apply the division lemma to get
467 = 18 x 25 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 485 and 952 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(467,18) = HCF(485,467) = HCF(952,485) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 499 > 1, we apply the division lemma to 499 and 1, to get
499 = 1 x 499 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 499 is 1
Notice that 1 = HCF(499,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 485, 952, 499 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 485, 952, 499?
Answer: HCF of 485, 952, 499 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 485, 952, 499 using Euclid's Algorithm?
Answer: For arbitrary numbers 485, 952, 499 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.