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 925, 532, 536 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 925, 532, 536 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 925, 532, 536 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 925, 532, 536 is 1.
HCF(925, 532, 536) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 925, 532, 536 is 1.
Step 1: Since 925 > 532, we apply the division lemma to 925 and 532, to get
925 = 532 x 1 + 393
Step 2: Since the reminder 532 ≠ 0, we apply division lemma to 393 and 532, to get
532 = 393 x 1 + 139
Step 3: We consider the new divisor 393 and the new remainder 139, and apply the division lemma to get
393 = 139 x 2 + 115
We consider the new divisor 139 and the new remainder 115,and apply the division lemma to get
139 = 115 x 1 + 24
We consider the new divisor 115 and the new remainder 24,and apply the division lemma to get
115 = 24 x 4 + 19
We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get
24 = 19 x 1 + 5
We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get
19 = 5 x 3 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 925 and 532 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(115,24) = HCF(139,115) = HCF(393,139) = HCF(532,393) = HCF(925,532) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 536 > 1, we apply the division lemma to 536 and 1, to get
536 = 1 x 536 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 536 is 1
Notice that 1 = HCF(536,1) .
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 925, 532, 536?
Answer: HCF of 925, 532, 536 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 925, 532, 536 using Euclid's Algorithm?
Answer: For arbitrary numbers 925, 532, 536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.