Highest Common Factor of 680, 281, 930 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 680, 281, 930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 680, 281, 930 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 680, 281, 930 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 680, 281, 930 is 1.
HCF(680, 281, 930) = 1
HCF of 680, 281, 930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 680, 281, 930 is 1.
Highest Common Factor of 680,281,930 is 1
Step 1: Since 680 > 281, we apply the division lemma to 680 and 281, to get
680 = 281 x 2 + 118
Step 2: Since the reminder 281 ≠ 0, we apply division lemma to 118 and 281, to get
281 = 118 x 2 + 45
Step 3: We consider the new divisor 118 and the new remainder 45, and apply the division lemma to get
118 = 45 x 2 + 28
We consider the new divisor 45 and the new remainder 28,and apply the division lemma to get
45 = 28 x 1 + 17
We consider the new divisor 28 and the new remainder 17,and apply the division lemma to get
28 = 17 x 1 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 680 and 281 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(28,17) = HCF(45,28) = HCF(118,45) = HCF(281,118) = HCF(680,281) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 930 > 1, we apply the division lemma to 930 and 1, to get
930 = 1 x 930 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 930 is 1
Notice that 1 = HCF(930,1) .
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Frequently Asked Questions on HCF of 680, 281, 930 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 680, 281, 930?
Answer: HCF of 680, 281, 930 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 680, 281, 930 using Euclid's Algorithm?
Answer: For arbitrary numbers 680, 281, 930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.