Highest Common Factor of 577, 978, 941 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 577, 978, 941 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 577, 978, 941 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 577, 978, 941 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 577, 978, 941 is 1.
HCF(577, 978, 941) = 1
HCF of 577, 978, 941 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 577, 978, 941 is 1.
Highest Common Factor of 577,978,941 is 1
Step 1: Since 978 > 577, we apply the division lemma to 978 and 577, to get
978 = 577 x 1 + 401
Step 2: Since the reminder 577 ≠ 0, we apply division lemma to 401 and 577, to get
577 = 401 x 1 + 176
Step 3: We consider the new divisor 401 and the new remainder 176, and apply the division lemma to get
401 = 176 x 2 + 49
We consider the new divisor 176 and the new remainder 49,and apply the division lemma to get
176 = 49 x 3 + 29
We consider the new divisor 49 and the new remainder 29,and apply the division lemma to get
49 = 29 x 1 + 20
We consider the new divisor 29 and the new remainder 20,and apply the division lemma to get
29 = 20 x 1 + 9
We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get
20 = 9 x 2 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 577 and 978 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(29,20) = HCF(49,29) = HCF(176,49) = HCF(401,176) = HCF(577,401) = HCF(978,577) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 941 > 1, we apply the division lemma to 941 and 1, to get
941 = 1 x 941 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 941 is 1
Notice that 1 = HCF(941,1) .
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Frequently Asked Questions on HCF of 577, 978, 941 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 577, 978, 941?
Answer: HCF of 577, 978, 941 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 577, 978, 941 using Euclid's Algorithm?
Answer: For arbitrary numbers 577, 978, 941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.