Highest Common Factor of 818, 522, 194, 560 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 818, 522, 194, 560 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 818, 522, 194, 560 is 2 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 818, 522, 194, 560 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 818, 522, 194, 560 is 2.
HCF(818, 522, 194, 560) = 2
HCF of 818, 522, 194, 560 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 818, 522, 194, 560 is 2.
Highest Common Factor of 818,522,194,560 is 2
Step 1: Since 818 > 522, we apply the division lemma to 818 and 522, to get
818 = 522 x 1 + 296
Step 2: Since the reminder 522 ≠ 0, we apply division lemma to 296 and 522, to get
522 = 296 x 1 + 226
Step 3: We consider the new divisor 296 and the new remainder 226, and apply the division lemma to get
296 = 226 x 1 + 70
We consider the new divisor 226 and the new remainder 70,and apply the division lemma to get
226 = 70 x 3 + 16
We consider the new divisor 70 and the new remainder 16,and apply the division lemma to get
70 = 16 x 4 + 6
We consider the new divisor 16 and the new remainder 6,and apply the division lemma to get
16 = 6 x 2 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 818 and 522 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(16,6) = HCF(70,16) = HCF(226,70) = HCF(296,226) = HCF(522,296) = HCF(818,522) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 194 > 2, we apply the division lemma to 194 and 2, to get
194 = 2 x 97 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 194 is 2
Notice that 2 = HCF(194,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 560 > 2, we apply the division lemma to 560 and 2, to get
560 = 2 x 280 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 560 is 2
Notice that 2 = HCF(560,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 818, 522, 194, 560 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 818, 522, 194, 560?
Answer: HCF of 818, 522, 194, 560 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 818, 522, 194, 560 using Euclid's Algorithm?
Answer: For arbitrary numbers 818, 522, 194, 560 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.