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 451, 783, 243 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 451, 783, 243 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 451, 783, 243 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 451, 783, 243 is 1.
HCF(451, 783, 243) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 451, 783, 243 is 1.
Step 1: Since 783 > 451, we apply the division lemma to 783 and 451, to get
783 = 451 x 1 + 332
Step 2: Since the reminder 451 ≠ 0, we apply division lemma to 332 and 451, to get
451 = 332 x 1 + 119
Step 3: We consider the new divisor 332 and the new remainder 119, and apply the division lemma to get
332 = 119 x 2 + 94
We consider the new divisor 119 and the new remainder 94,and apply the division lemma to get
119 = 94 x 1 + 25
We consider the new divisor 94 and the new remainder 25,and apply the division lemma to get
94 = 25 x 3 + 19
We consider the new divisor 25 and the new remainder 19,and apply the division lemma to get
25 = 19 x 1 + 6
We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get
19 = 6 x 3 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 451 and 783 is 1
Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(25,19) = HCF(94,25) = HCF(119,94) = HCF(332,119) = HCF(451,332) = HCF(783,451) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 243 > 1, we apply the division lemma to 243 and 1, to get
243 = 1 x 243 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 243 is 1
Notice that 1 = HCF(243,1) .
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 451, 783, 243?
Answer: HCF of 451, 783, 243 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 451, 783, 243 using Euclid's Algorithm?
Answer: For arbitrary numbers 451, 783, 243 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.