Highest Common Factor of 400, 5719, 9979 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 400, 5719, 9979 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 400, 5719, 9979 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 400, 5719, 9979 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 400, 5719, 9979 is 1.
HCF(400, 5719, 9979) = 1
HCF of 400, 5719, 9979 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 400, 5719, 9979 is 1.
Highest Common Factor of 400,5719,9979 is 1
Step 1: Since 5719 > 400, we apply the division lemma to 5719 and 400, to get
5719 = 400 x 14 + 119
Step 2: Since the reminder 400 ≠ 0, we apply division lemma to 119 and 400, to get
400 = 119 x 3 + 43
Step 3: We consider the new divisor 119 and the new remainder 43, and apply the division lemma to get
119 = 43 x 2 + 33
We consider the new divisor 43 and the new remainder 33,and apply the division lemma to get
43 = 33 x 1 + 10
We consider the new divisor 33 and the new remainder 10,and apply the division lemma to get
33 = 10 x 3 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 400 and 5719 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(33,10) = HCF(43,33) = HCF(119,43) = HCF(400,119) = HCF(5719,400) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9979 > 1, we apply the division lemma to 9979 and 1, to get
9979 = 1 x 9979 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9979 is 1
Notice that 1 = HCF(9979,1) .
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Frequently Asked Questions on HCF of 400, 5719, 9979 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 400, 5719, 9979?
Answer: HCF of 400, 5719, 9979 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 400, 5719, 9979 using Euclid's Algorithm?
Answer: For arbitrary numbers 400, 5719, 9979 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.