Highest Common Factor of 220, 4055 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 220, 4055 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 220, 4055 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 220, 4055 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 220, 4055 is 5.
HCF(220, 4055) = 5
HCF of 220, 4055 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 220, 4055 is 5.
Highest Common Factor of 220,4055 is 5
Step 1: Since 4055 > 220, we apply the division lemma to 4055 and 220, to get
4055 = 220 x 18 + 95
Step 2: Since the reminder 220 ≠ 0, we apply division lemma to 95 and 220, to get
220 = 95 x 2 + 30
Step 3: We consider the new divisor 95 and the new remainder 30, and apply the division lemma to get
95 = 30 x 3 + 5
We consider the new divisor 30 and the new remainder 5, and apply the division lemma to get
30 = 5 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 220 and 4055 is 5
Notice that 5 = HCF(30,5) = HCF(95,30) = HCF(220,95) = HCF(4055,220) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 220, 4055 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 220, 4055?
Answer: HCF of 220, 4055 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 220, 4055 using Euclid's Algorithm?
Answer: For arbitrary numbers 220, 4055 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.