Highest Common Factor of 801, 920, 228 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 801, 920, 228 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 801, 920, 228 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 801, 920, 228 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 801, 920, 228 is 1.
HCF(801, 920, 228) = 1
HCF of 801, 920, 228 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 801, 920, 228 is 1.
Highest Common Factor of 801,920,228 is 1
Step 1: Since 920 > 801, we apply the division lemma to 920 and 801, to get
920 = 801 x 1 + 119
Step 2: Since the reminder 801 ≠ 0, we apply division lemma to 119 and 801, to get
801 = 119 x 6 + 87
Step 3: We consider the new divisor 119 and the new remainder 87, and apply the division lemma to get
119 = 87 x 1 + 32
We consider the new divisor 87 and the new remainder 32,and apply the division lemma to get
87 = 32 x 2 + 23
We consider the new divisor 32 and the new remainder 23,and apply the division lemma to get
32 = 23 x 1 + 9
We consider the new divisor 23 and the new remainder 9,and apply the division lemma to get
23 = 9 x 2 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 801 and 920 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(23,9) = HCF(32,23) = HCF(87,32) = HCF(119,87) = HCF(801,119) = HCF(920,801) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 228 > 1, we apply the division lemma to 228 and 1, to get
228 = 1 x 228 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 228 is 1
Notice that 1 = HCF(228,1) .
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Frequently Asked Questions on HCF of 801, 920, 228 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 801, 920, 228?
Answer: HCF of 801, 920, 228 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 801, 920, 228 using Euclid's Algorithm?
Answer: For arbitrary numbers 801, 920, 228 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.