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 588, 2437, 3157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 588, 2437, 3157 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 588, 2437, 3157 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 588, 2437, 3157 is 1.
HCF(588, 2437, 3157) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 588, 2437, 3157 is 1.
Step 1: Since 2437 > 588, we apply the division lemma to 2437 and 588, to get
2437 = 588 x 4 + 85
Step 2: Since the reminder 588 ≠ 0, we apply division lemma to 85 and 588, to get
588 = 85 x 6 + 78
Step 3: We consider the new divisor 85 and the new remainder 78, and apply the division lemma to get
85 = 78 x 1 + 7
We consider the new divisor 78 and the new remainder 7,and apply the division lemma to get
78 = 7 x 11 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 588 and 2437 is 1
Notice that 1 = HCF(7,1) = HCF(78,7) = HCF(85,78) = HCF(588,85) = HCF(2437,588) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3157 > 1, we apply the division lemma to 3157 and 1, to get
3157 = 1 x 3157 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 3157 is 1
Notice that 1 = HCF(3157,1) .
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 588, 2437, 3157?
Answer: HCF of 588, 2437, 3157 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 588, 2437, 3157 using Euclid's Algorithm?
Answer: For arbitrary numbers 588, 2437, 3157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.