Highest Common Factor of 339, 557, 986 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 339, 557, 986 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 339, 557, 986 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 339, 557, 986 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 339, 557, 986 is 1.
HCF(339, 557, 986) = 1
HCF of 339, 557, 986 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 339, 557, 986 is 1.
Highest Common Factor of 339,557,986 is 1
Step 1: Since 557 > 339, we apply the division lemma to 557 and 339, to get
557 = 339 x 1 + 218
Step 2: Since the reminder 339 ≠ 0, we apply division lemma to 218 and 339, to get
339 = 218 x 1 + 121
Step 3: We consider the new divisor 218 and the new remainder 121, and apply the division lemma to get
218 = 121 x 1 + 97
We consider the new divisor 121 and the new remainder 97,and apply the division lemma to get
121 = 97 x 1 + 24
We consider the new divisor 97 and the new remainder 24,and apply the division lemma to get
97 = 24 x 4 + 1
We consider the new divisor 24 and the new remainder 1,and apply the division lemma to get
24 = 1 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 339 and 557 is 1
Notice that 1 = HCF(24,1) = HCF(97,24) = HCF(121,97) = HCF(218,121) = HCF(339,218) = HCF(557,339) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 986 > 1, we apply the division lemma to 986 and 1, to get
986 = 1 x 986 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 986 is 1
Notice that 1 = HCF(986,1) .
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Frequently Asked Questions on HCF of 339, 557, 986 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 339, 557, 986?
Answer: HCF of 339, 557, 986 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 339, 557, 986 using Euclid's Algorithm?
Answer: For arbitrary numbers 339, 557, 986 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.