Highest Common Factor of 790, 208, 472 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 790, 208, 472 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 790, 208, 472 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 790, 208, 472 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 790, 208, 472 is 2.
HCF(790, 208, 472) = 2
HCF of 790, 208, 472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 790, 208, 472 is 2.
Highest Common Factor of 790,208,472 is 2
Step 1: Since 790 > 208, we apply the division lemma to 790 and 208, to get
790 = 208 x 3 + 166
Step 2: Since the reminder 208 ≠ 0, we apply division lemma to 166 and 208, to get
208 = 166 x 1 + 42
Step 3: We consider the new divisor 166 and the new remainder 42, and apply the division lemma to get
166 = 42 x 3 + 40
We consider the new divisor 42 and the new remainder 40,and apply the division lemma to get
42 = 40 x 1 + 2
We consider the new divisor 40 and the new remainder 2,and apply the division lemma to get
40 = 2 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 790 and 208 is 2
Notice that 2 = HCF(40,2) = HCF(42,40) = HCF(166,42) = HCF(208,166) = HCF(790,208) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 472 > 2, we apply the division lemma to 472 and 2, to get
472 = 2 x 236 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 472 is 2
Notice that 2 = HCF(472,2) .
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Frequently Asked Questions on HCF of 790, 208, 472 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 790, 208, 472?
Answer: HCF of 790, 208, 472 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 790, 208, 472 using Euclid's Algorithm?
Answer: For arbitrary numbers 790, 208, 472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.