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 453, 272, 926, 429 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 453, 272, 926, 429 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 453, 272, 926, 429 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 453, 272, 926, 429 is 1.
HCF(453, 272, 926, 429) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 453, 272, 926, 429 is 1.
Step 1: Since 453 > 272, we apply the division lemma to 453 and 272, to get
453 = 272 x 1 + 181
Step 2: Since the reminder 272 ≠ 0, we apply division lemma to 181 and 272, to get
272 = 181 x 1 + 91
Step 3: We consider the new divisor 181 and the new remainder 91, and apply the division lemma to get
181 = 91 x 1 + 90
We consider the new divisor 91 and the new remainder 90,and apply the division lemma to get
91 = 90 x 1 + 1
We consider the new divisor 90 and the new remainder 1,and apply the division lemma to get
90 = 1 x 90 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 453 and 272 is 1
Notice that 1 = HCF(90,1) = HCF(91,90) = HCF(181,91) = HCF(272,181) = HCF(453,272) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 926 > 1, we apply the division lemma to 926 and 1, to get
926 = 1 x 926 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 926 is 1
Notice that 1 = HCF(926,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 429 > 1, we apply the division lemma to 429 and 1, to get
429 = 1 x 429 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 429 is 1
Notice that 1 = HCF(429,1) .
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 453, 272, 926, 429?
Answer: HCF of 453, 272, 926, 429 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 453, 272, 926, 429 using Euclid's Algorithm?
Answer: For arbitrary numbers 453, 272, 926, 429 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.