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 262, 425, 592 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 262, 425, 592 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 262, 425, 592 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 262, 425, 592 is 1.
HCF(262, 425, 592) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 262, 425, 592 is 1.
Step 1: Since 425 > 262, we apply the division lemma to 425 and 262, to get
425 = 262 x 1 + 163
Step 2: Since the reminder 262 ≠ 0, we apply division lemma to 163 and 262, to get
262 = 163 x 1 + 99
Step 3: We consider the new divisor 163 and the new remainder 99, and apply the division lemma to get
163 = 99 x 1 + 64
We consider the new divisor 99 and the new remainder 64,and apply the division lemma to get
99 = 64 x 1 + 35
We consider the new divisor 64 and the new remainder 35,and apply the division lemma to get
64 = 35 x 1 + 29
We consider the new divisor 35 and the new remainder 29,and apply the division lemma to get
35 = 29 x 1 + 6
We consider the new divisor 29 and the new remainder 6,and apply the division lemma to get
29 = 6 x 4 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 262 and 425 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(29,6) = HCF(35,29) = HCF(64,35) = HCF(99,64) = HCF(163,99) = HCF(262,163) = HCF(425,262) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 592 > 1, we apply the division lemma to 592 and 1, to get
592 = 1 x 592 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 592 is 1
Notice that 1 = HCF(592,1) .
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 262, 425, 592?
Answer: HCF of 262, 425, 592 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 262, 425, 592 using Euclid's Algorithm?
Answer: For arbitrary numbers 262, 425, 592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.