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 3190, 8928, 57592 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3190, 8928, 57592 is 2 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 3190, 8928, 57592 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 3190, 8928, 57592 is 2.
HCF(3190, 8928, 57592) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3190, 8928, 57592 is 2.
Step 1: Since 8928 > 3190, we apply the division lemma to 8928 and 3190, to get
8928 = 3190 x 2 + 2548
Step 2: Since the reminder 3190 ≠ 0, we apply division lemma to 2548 and 3190, to get
3190 = 2548 x 1 + 642
Step 3: We consider the new divisor 2548 and the new remainder 642, and apply the division lemma to get
2548 = 642 x 3 + 622
We consider the new divisor 642 and the new remainder 622,and apply the division lemma to get
642 = 622 x 1 + 20
We consider the new divisor 622 and the new remainder 20,and apply the division lemma to get
622 = 20 x 31 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3190 and 8928 is 2
Notice that 2 = HCF(20,2) = HCF(622,20) = HCF(642,622) = HCF(2548,642) = HCF(3190,2548) = HCF(8928,3190) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 57592 > 2, we apply the division lemma to 57592 and 2, to get
57592 = 2 x 28796 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 57592 is 2
Notice that 2 = HCF(57592,2) .
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 3190, 8928, 57592?
Answer: HCF of 3190, 8928, 57592 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3190, 8928, 57592 using Euclid's Algorithm?
Answer: For arbitrary numbers 3190, 8928, 57592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.