Highest Common Factor of 457, 300, 334, 37 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 457, 300, 334, 37 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 457, 300, 334, 37 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 457, 300, 334, 37 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 457, 300, 334, 37 is 1.
HCF(457, 300, 334, 37) = 1
HCF of 457, 300, 334, 37 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 457, 300, 334, 37 is 1.
Highest Common Factor of 457,300,334,37 is 1
Step 1: Since 457 > 300, we apply the division lemma to 457 and 300, to get
457 = 300 x 1 + 157
Step 2: Since the reminder 300 ≠ 0, we apply division lemma to 157 and 300, to get
300 = 157 x 1 + 143
Step 3: We consider the new divisor 157 and the new remainder 143, and apply the division lemma to get
157 = 143 x 1 + 14
We consider the new divisor 143 and the new remainder 14,and apply the division lemma to get
143 = 14 x 10 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 457 and 300 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(143,14) = HCF(157,143) = HCF(300,157) = HCF(457,300) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 334 > 1, we apply the division lemma to 334 and 1, to get
334 = 1 x 334 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 334 is 1
Notice that 1 = HCF(334,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 37 > 1, we apply the division lemma to 37 and 1, to get
37 = 1 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 37 is 1
Notice that 1 = HCF(37,1) .
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Frequently Asked Questions on HCF of 457, 300, 334, 37 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 457, 300, 334, 37?
Answer: HCF of 457, 300, 334, 37 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 457, 300, 334, 37 using Euclid's Algorithm?
Answer: For arbitrary numbers 457, 300, 334, 37 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.