Highest Common Factor of 577, 355, 85 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, 355, 85 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 577, 355, 85 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, 355, 85 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, 355, 85 is 1.
HCF(577, 355, 85) = 1
HCF of 577, 355, 85 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, 355, 85 is 1.
Highest Common Factor of 577,355,85 is 1
Step 1: Since 577 > 355, we apply the division lemma to 577 and 355, to get
577 = 355 x 1 + 222
Step 2: Since the reminder 355 ≠ 0, we apply division lemma to 222 and 355, to get
355 = 222 x 1 + 133
Step 3: We consider the new divisor 222 and the new remainder 133, and apply the division lemma to get
222 = 133 x 1 + 89
We consider the new divisor 133 and the new remainder 89,and apply the division lemma to get
133 = 89 x 1 + 44
We consider the new divisor 89 and the new remainder 44,and apply the division lemma to get
89 = 44 x 2 + 1
We consider the new divisor 44 and the new remainder 1,and apply the division lemma to get
44 = 1 x 44 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 577 and 355 is 1
Notice that 1 = HCF(44,1) = HCF(89,44) = HCF(133,89) = HCF(222,133) = HCF(355,222) = HCF(577,355) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 85 > 1, we apply the division lemma to 85 and 1, to get
85 = 1 x 85 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85 is 1
Notice that 1 = HCF(85,1) .
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Frequently Asked Questions on HCF of 577, 355, 85 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, 355, 85?
Answer: HCF of 577, 355, 85 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 577, 355, 85 using Euclid's Algorithm?
Answer: For arbitrary numbers 577, 355, 85 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.