Highest Common Factor of 452, 710, 16 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 452, 710, 16 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 452, 710, 16 is 2 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 452, 710, 16 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 452, 710, 16 is 2.
HCF(452, 710, 16) = 2
HCF of 452, 710, 16 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 452, 710, 16 is 2.
Highest Common Factor of 452,710,16 is 2
Step 1: Since 710 > 452, we apply the division lemma to 710 and 452, to get
710 = 452 x 1 + 258
Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 258 and 452, to get
452 = 258 x 1 + 194
Step 3: We consider the new divisor 258 and the new remainder 194, and apply the division lemma to get
258 = 194 x 1 + 64
We consider the new divisor 194 and the new remainder 64,and apply the division lemma to get
194 = 64 x 3 + 2
We consider the new divisor 64 and the new remainder 2,and apply the division lemma to get
64 = 2 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 452 and 710 is 2
Notice that 2 = HCF(64,2) = HCF(194,64) = HCF(258,194) = HCF(452,258) = HCF(710,452) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 16 > 2, we apply the division lemma to 16 and 2, to get
16 = 2 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 16 is 2
Notice that 2 = HCF(16,2) .
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Frequently Asked Questions on HCF of 452, 710, 16 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 452, 710, 16?
Answer: HCF of 452, 710, 16 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 452, 710, 16 using Euclid's Algorithm?
Answer: For arbitrary numbers 452, 710, 16 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.