Highest Common Factor of 225, 375, 796 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 225, 375, 796 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 225, 375, 796 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 225, 375, 796 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 225, 375, 796 is 1.
HCF(225, 375, 796) = 1
HCF of 225, 375, 796 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 225, 375, 796 is 1.
Highest Common Factor of 225,375,796 is 1
Step 1: Since 375 > 225, we apply the division lemma to 375 and 225, to get
375 = 225 x 1 + 150
Step 2: Since the reminder 225 ≠ 0, we apply division lemma to 150 and 225, to get
225 = 150 x 1 + 75
Step 3: We consider the new divisor 150 and the new remainder 75, and apply the division lemma to get
150 = 75 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 75, the HCF of 225 and 375 is 75
Notice that 75 = HCF(150,75) = HCF(225,150) = HCF(375,225) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 796 > 75, we apply the division lemma to 796 and 75, to get
796 = 75 x 10 + 46
Step 2: Since the reminder 75 ≠ 0, we apply division lemma to 46 and 75, to get
75 = 46 x 1 + 29
Step 3: We consider the new divisor 46 and the new remainder 29, and apply the division lemma to get
46 = 29 x 1 + 17
We consider the new divisor 29 and the new remainder 17,and apply the division lemma to get
29 = 17 x 1 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 75 and 796 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(29,17) = HCF(46,29) = HCF(75,46) = HCF(796,75) .
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Frequently Asked Questions on HCF of 225, 375, 796 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 225, 375, 796?
Answer: HCF of 225, 375, 796 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 225, 375, 796 using Euclid's Algorithm?
Answer: For arbitrary numbers 225, 375, 796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.