Highest Common Factor of 337, 1871, 3148 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 337, 1871, 3148 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 337, 1871, 3148 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 337, 1871, 3148 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 337, 1871, 3148 is 1.
HCF(337, 1871, 3148) = 1
HCF of 337, 1871, 3148 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 337, 1871, 3148 is 1.
Highest Common Factor of 337,1871,3148 is 1
Step 1: Since 1871 > 337, we apply the division lemma to 1871 and 337, to get
1871 = 337 x 5 + 186
Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 186 and 337, to get
337 = 186 x 1 + 151
Step 3: We consider the new divisor 186 and the new remainder 151, and apply the division lemma to get
186 = 151 x 1 + 35
We consider the new divisor 151 and the new remainder 35,and apply the division lemma to get
151 = 35 x 4 + 11
We consider the new divisor 35 and the new remainder 11,and apply the division lemma to get
35 = 11 x 3 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 337 and 1871 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(35,11) = HCF(151,35) = HCF(186,151) = HCF(337,186) = HCF(1871,337) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3148 > 1, we apply the division lemma to 3148 and 1, to get
3148 = 1 x 3148 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3148 is 1
Notice that 1 = HCF(3148,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 337, 1871, 3148 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 337, 1871, 3148?
Answer: HCF of 337, 1871, 3148 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 337, 1871, 3148 using Euclid's Algorithm?
Answer: For arbitrary numbers 337, 1871, 3148 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.