Highest Common Factor of 391, 751, 401 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 391, 751, 401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 391, 751, 401 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 391, 751, 401 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 391, 751, 401 is 1.
HCF(391, 751, 401) = 1
HCF of 391, 751, 401 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 391, 751, 401 is 1.
Highest Common Factor of 391,751,401 is 1
Step 1: Since 751 > 391, we apply the division lemma to 751 and 391, to get
751 = 391 x 1 + 360
Step 2: Since the reminder 391 ≠ 0, we apply division lemma to 360 and 391, to get
391 = 360 x 1 + 31
Step 3: We consider the new divisor 360 and the new remainder 31, and apply the division lemma to get
360 = 31 x 11 + 19
We consider the new divisor 31 and the new remainder 19,and apply the division lemma to get
31 = 19 x 1 + 12
We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 391 and 751 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(31,19) = HCF(360,31) = HCF(391,360) = HCF(751,391) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 401 > 1, we apply the division lemma to 401 and 1, to get
401 = 1 x 401 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 401 is 1
Notice that 1 = HCF(401,1) .
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Frequently Asked Questions on HCF of 391, 751, 401 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 391, 751, 401?
Answer: HCF of 391, 751, 401 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 391, 751, 401 using Euclid's Algorithm?
Answer: For arbitrary numbers 391, 751, 401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.