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 727, 463, 663, 259 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 727, 463, 663, 259 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 727, 463, 663, 259 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 727, 463, 663, 259 is 1.
HCF(727, 463, 663, 259) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 727, 463, 663, 259 is 1.
Step 1: Since 727 > 463, we apply the division lemma to 727 and 463, to get
727 = 463 x 1 + 264
Step 2: Since the reminder 463 ≠ 0, we apply division lemma to 264 and 463, to get
463 = 264 x 1 + 199
Step 3: We consider the new divisor 264 and the new remainder 199, and apply the division lemma to get
264 = 199 x 1 + 65
We consider the new divisor 199 and the new remainder 65,and apply the division lemma to get
199 = 65 x 3 + 4
We consider the new divisor 65 and the new remainder 4,and apply the division lemma to get
65 = 4 x 16 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 727 and 463 is 1
Notice that 1 = HCF(4,1) = HCF(65,4) = HCF(199,65) = HCF(264,199) = HCF(463,264) = HCF(727,463) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 663 > 1, we apply the division lemma to 663 and 1, to get
663 = 1 x 663 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 663 is 1
Notice that 1 = HCF(663,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 259 > 1, we apply the division lemma to 259 and 1, to get
259 = 1 x 259 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 259 is 1
Notice that 1 = HCF(259,1) .
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 727, 463, 663, 259?
Answer: HCF of 727, 463, 663, 259 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 727, 463, 663, 259 using Euclid's Algorithm?
Answer: For arbitrary numbers 727, 463, 663, 259 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.