Highest Common Factor of 535, 5568 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 535, 5568 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 535, 5568 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 535, 5568 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 535, 5568 is 1.
HCF(535, 5568) = 1
HCF of 535, 5568 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 535, 5568 is 1.
Highest Common Factor of 535,5568 is 1
Step 1: Since 5568 > 535, we apply the division lemma to 5568 and 535, to get
5568 = 535 x 10 + 218
Step 2: Since the reminder 535 ≠ 0, we apply division lemma to 218 and 535, to get
535 = 218 x 2 + 99
Step 3: We consider the new divisor 218 and the new remainder 99, and apply the division lemma to get
218 = 99 x 2 + 20
We consider the new divisor 99 and the new remainder 20,and apply the division lemma to get
99 = 20 x 4 + 19
We consider the new divisor 20 and the new remainder 19,and apply the division lemma to get
20 = 19 x 1 + 1
We consider the new divisor 19 and the new remainder 1,and apply the division lemma to get
19 = 1 x 19 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 535 and 5568 is 1
Notice that 1 = HCF(19,1) = HCF(20,19) = HCF(99,20) = HCF(218,99) = HCF(535,218) = HCF(5568,535) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 535, 5568 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 535, 5568?
Answer: HCF of 535, 5568 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 535, 5568 using Euclid's Algorithm?
Answer: For arbitrary numbers 535, 5568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.