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 6131, 3991 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6131, 3991 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 6131, 3991 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 6131, 3991 is 1.
HCF(6131, 3991) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6131, 3991 is 1.
Step 1: Since 6131 > 3991, we apply the division lemma to 6131 and 3991, to get
6131 = 3991 x 1 + 2140
Step 2: Since the reminder 3991 ≠ 0, we apply division lemma to 2140 and 3991, to get
3991 = 2140 x 1 + 1851
Step 3: We consider the new divisor 2140 and the new remainder 1851, and apply the division lemma to get
2140 = 1851 x 1 + 289
We consider the new divisor 1851 and the new remainder 289,and apply the division lemma to get
1851 = 289 x 6 + 117
We consider the new divisor 289 and the new remainder 117,and apply the division lemma to get
289 = 117 x 2 + 55
We consider the new divisor 117 and the new remainder 55,and apply the division lemma to get
117 = 55 x 2 + 7
We consider the new divisor 55 and the new remainder 7,and apply the division lemma to get
55 = 7 x 7 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6131 and 3991 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(55,7) = HCF(117,55) = HCF(289,117) = HCF(1851,289) = HCF(2140,1851) = HCF(3991,2140) = HCF(6131,3991) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 6131, 3991?
Answer: HCF of 6131, 3991 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6131, 3991 using Euclid's Algorithm?
Answer: For arbitrary numbers 6131, 3991 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.