Highest Common Factor of 981, 578, 784 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 981, 578, 784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 981, 578, 784 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 981, 578, 784 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 981, 578, 784 is 1.
HCF(981, 578, 784) = 1
HCF of 981, 578, 784 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 981, 578, 784 is 1.
Highest Common Factor of 981,578,784 is 1
Step 1: Since 981 > 578, we apply the division lemma to 981 and 578, to get
981 = 578 x 1 + 403
Step 2: Since the reminder 578 ≠ 0, we apply division lemma to 403 and 578, to get
578 = 403 x 1 + 175
Step 3: We consider the new divisor 403 and the new remainder 175, and apply the division lemma to get
403 = 175 x 2 + 53
We consider the new divisor 175 and the new remainder 53,and apply the division lemma to get
175 = 53 x 3 + 16
We consider the new divisor 53 and the new remainder 16,and apply the division lemma to get
53 = 16 x 3 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 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 981 and 578 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(53,16) = HCF(175,53) = HCF(403,175) = HCF(578,403) = HCF(981,578) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 784 > 1, we apply the division lemma to 784 and 1, to get
784 = 1 x 784 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 784 is 1
Notice that 1 = HCF(784,1) .
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Frequently Asked Questions on HCF of 981, 578, 784 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 981, 578, 784?
Answer: HCF of 981, 578, 784 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 981, 578, 784 using Euclid's Algorithm?
Answer: For arbitrary numbers 981, 578, 784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
