Highest Common Factor of 455, 555 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 455, 555 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 455, 555 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 455, 555 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 455, 555 is 5.
HCF(455, 555) = 5
HCF of 455, 555 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 455, 555 is 5.
Highest Common Factor of 455,555 is 5
Step 1: Since 555 > 455, we apply the division lemma to 555 and 455, to get
555 = 455 x 1 + 100
Step 2: Since the reminder 455 ≠ 0, we apply division lemma to 100 and 455, to get
455 = 100 x 4 + 55
Step 3: We consider the new divisor 100 and the new remainder 55, and apply the division lemma to get
100 = 55 x 1 + 45
We consider the new divisor 55 and the new remainder 45,and apply the division lemma to get
55 = 45 x 1 + 10
We consider the new divisor 45 and the new remainder 10,and apply the division lemma to get
45 = 10 x 4 + 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 455 and 555 is 5
Notice that 5 = HCF(10,5) = HCF(45,10) = HCF(55,45) = HCF(100,55) = HCF(455,100) = HCF(555,455) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 455, 555 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 455, 555?
Answer: HCF of 455, 555 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 455, 555 using Euclid's Algorithm?
Answer: For arbitrary numbers 455, 555 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.