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 537, 895, 926 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 537, 895, 926 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 537, 895, 926 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 537, 895, 926 is 1.
HCF(537, 895, 926) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 537, 895, 926 is 1.
Step 1: Since 895 > 537, we apply the division lemma to 895 and 537, to get
895 = 537 x 1 + 358
Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 358 and 537, to get
537 = 358 x 1 + 179
Step 3: We consider the new divisor 358 and the new remainder 179, and apply the division lemma to get
358 = 179 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 179, the HCF of 537 and 895 is 179
Notice that 179 = HCF(358,179) = HCF(537,358) = HCF(895,537) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 926 > 179, we apply the division lemma to 926 and 179, to get
926 = 179 x 5 + 31
Step 2: Since the reminder 179 ≠ 0, we apply division lemma to 31 and 179, to get
179 = 31 x 5 + 24
Step 3: We consider the new divisor 31 and the new remainder 24, and apply the division lemma to get
31 = 24 x 1 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 179 and 926 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(31,24) = HCF(179,31) = HCF(926,179) .
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 537, 895, 926?
Answer: HCF of 537, 895, 926 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 537, 895, 926 using Euclid's Algorithm?
Answer: For arbitrary numbers 537, 895, 926 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.