Highest Common Factor of 1428, 5515 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 1428, 5515 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1428, 5515 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 1428, 5515 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 1428, 5515 is 1.
HCF(1428, 5515) = 1
HCF of 1428, 5515 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1428, 5515 is 1.
Highest Common Factor of 1428,5515 is 1
Step 1: Since 5515 > 1428, we apply the division lemma to 5515 and 1428, to get
5515 = 1428 x 3 + 1231
Step 2: Since the reminder 1428 ≠ 0, we apply division lemma to 1231 and 1428, to get
1428 = 1231 x 1 + 197
Step 3: We consider the new divisor 1231 and the new remainder 197, and apply the division lemma to get
1231 = 197 x 6 + 49
We consider the new divisor 197 and the new remainder 49,and apply the division lemma to get
197 = 49 x 4 + 1
We consider the new divisor 49 and the new remainder 1,and apply the division lemma to get
49 = 1 x 49 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1428 and 5515 is 1
Notice that 1 = HCF(49,1) = HCF(197,49) = HCF(1231,197) = HCF(1428,1231) = HCF(5515,1428) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1428, 5515 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 1428, 5515?
Answer: HCF of 1428, 5515 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1428, 5515 using Euclid's Algorithm?
Answer: For arbitrary numbers 1428, 5515 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.