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, 8932, 2406 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 337, 8932, 2406 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, 8932, 2406 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, 8932, 2406 is 1.
HCF(337, 8932, 2406) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 337, 8932, 2406 is 1.
Step 1: Since 8932 > 337, we apply the division lemma to 8932 and 337, to get
8932 = 337 x 26 + 170
Step 2: Since the reminder 337 ≠ 0, we apply division lemma to 170 and 337, to get
337 = 170 x 1 + 167
Step 3: We consider the new divisor 170 and the new remainder 167, and apply the division lemma to get
170 = 167 x 1 + 3
We consider the new divisor 167 and the new remainder 3,and apply the division lemma to get
167 = 3 x 55 + 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 337 and 8932 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(167,3) = HCF(170,167) = HCF(337,170) = HCF(8932,337) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2406 > 1, we apply the division lemma to 2406 and 1, to get
2406 = 1 x 2406 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2406 is 1
Notice that 1 = HCF(2406,1) .
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 337, 8932, 2406?
Answer: HCF of 337, 8932, 2406 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 337, 8932, 2406 using Euclid's Algorithm?
Answer: For arbitrary numbers 337, 8932, 2406 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.