Highest Common Factor of 919, 558 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 919, 558 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 919, 558 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 919, 558 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 919, 558 is 1.
HCF(919, 558) = 1
HCF of 919, 558 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 919, 558 is 1.
Highest Common Factor of 919,558 is 1
Step 1: Since 919 > 558, we apply the division lemma to 919 and 558, to get
919 = 558 x 1 + 361
Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 361 and 558, to get
558 = 361 x 1 + 197
Step 3: We consider the new divisor 361 and the new remainder 197, and apply the division lemma to get
361 = 197 x 1 + 164
We consider the new divisor 197 and the new remainder 164,and apply the division lemma to get
197 = 164 x 1 + 33
We consider the new divisor 164 and the new remainder 33,and apply the division lemma to get
164 = 33 x 4 + 32
We consider the new divisor 33 and the new remainder 32,and apply the division lemma to get
33 = 32 x 1 + 1
We consider the new divisor 32 and the new remainder 1,and apply the division lemma to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 919 and 558 is 1
Notice that 1 = HCF(32,1) = HCF(33,32) = HCF(164,33) = HCF(197,164) = HCF(361,197) = HCF(558,361) = HCF(919,558) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 919, 558 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 919, 558?
Answer: HCF of 919, 558 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 919, 558 using Euclid's Algorithm?
Answer: For arbitrary numbers 919, 558 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.