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 509, 641, 281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 509, 641, 281 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 509, 641, 281 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 509, 641, 281 is 1.
HCF(509, 641, 281) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 509, 641, 281 is 1.
Step 1: Since 641 > 509, we apply the division lemma to 641 and 509, to get
641 = 509 x 1 + 132
Step 2: Since the reminder 509 ≠ 0, we apply division lemma to 132 and 509, to get
509 = 132 x 3 + 113
Step 3: We consider the new divisor 132 and the new remainder 113, and apply the division lemma to get
132 = 113 x 1 + 19
We consider the new divisor 113 and the new remainder 19,and apply the division lemma to get
113 = 19 x 5 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 509 and 641 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(113,19) = HCF(132,113) = HCF(509,132) = HCF(641,509) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 281 > 1, we apply the division lemma to 281 and 1, to get
281 = 1 x 281 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 281 is 1
Notice that 1 = HCF(281,1) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 509, 641, 281?
Answer: HCF of 509, 641, 281 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 509, 641, 281 using Euclid's Algorithm?
Answer: For arbitrary numbers 509, 641, 281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.