Highest Common Factor of 3978, 5699 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 3978, 5699 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3978, 5699 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 3978, 5699 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 3978, 5699 is 1.
HCF(3978, 5699) = 1
HCF of 3978, 5699 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3978, 5699 is 1.
Highest Common Factor of 3978,5699 is 1
Step 1: Since 5699 > 3978, we apply the division lemma to 5699 and 3978, to get
5699 = 3978 x 1 + 1721
Step 2: Since the reminder 3978 ≠ 0, we apply division lemma to 1721 and 3978, to get
3978 = 1721 x 2 + 536
Step 3: We consider the new divisor 1721 and the new remainder 536, and apply the division lemma to get
1721 = 536 x 3 + 113
We consider the new divisor 536 and the new remainder 113,and apply the division lemma to get
536 = 113 x 4 + 84
We consider the new divisor 113 and the new remainder 84,and apply the division lemma to get
113 = 84 x 1 + 29
We consider the new divisor 84 and the new remainder 29,and apply the division lemma to get
84 = 29 x 2 + 26
We consider the new divisor 29 and the new remainder 26,and apply the division lemma to get
29 = 26 x 1 + 3
We consider the new divisor 26 and the new remainder 3,and apply the division lemma to get
26 = 3 x 8 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 3978 and 5699 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(26,3) = HCF(29,26) = HCF(84,29) = HCF(113,84) = HCF(536,113) = HCF(1721,536) = HCF(3978,1721) = HCF(5699,3978) .
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Frequently Asked Questions on HCF of 3978, 5699 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 3978, 5699?
Answer: HCF of 3978, 5699 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3978, 5699 using Euclid's Algorithm?
Answer: For arbitrary numbers 3978, 5699 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.