Highest Common Factor of 803, 511, 145 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 803, 511, 145 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 803, 511, 145 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 803, 511, 145 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 803, 511, 145 is 1.
HCF(803, 511, 145) = 1
HCF of 803, 511, 145 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 803, 511, 145 is 1.
Highest Common Factor of 803,511,145 is 1
Step 1: Since 803 > 511, we apply the division lemma to 803 and 511, to get
803 = 511 x 1 + 292
Step 2: Since the reminder 511 ≠ 0, we apply division lemma to 292 and 511, to get
511 = 292 x 1 + 219
Step 3: We consider the new divisor 292 and the new remainder 219, and apply the division lemma to get
292 = 219 x 1 + 73
We consider the new divisor 219 and the new remainder 73, and apply the division lemma to get
219 = 73 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 73, the HCF of 803 and 511 is 73
Notice that 73 = HCF(219,73) = HCF(292,219) = HCF(511,292) = HCF(803,511) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 145 > 73, we apply the division lemma to 145 and 73, to get
145 = 73 x 1 + 72
Step 2: Since the reminder 73 ≠ 0, we apply division lemma to 72 and 73, to get
73 = 72 x 1 + 1
Step 3: We consider the new divisor 72 and the new remainder 1, and apply the division lemma to get
72 = 1 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 73 and 145 is 1
Notice that 1 = HCF(72,1) = HCF(73,72) = HCF(145,73) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 803, 511, 145 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 803, 511, 145?
Answer: HCF of 803, 511, 145 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 803, 511, 145 using Euclid's Algorithm?
Answer: For arbitrary numbers 803, 511, 145 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
