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 1054, 8826, 79532 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1054, 8826, 79532 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 1054, 8826, 79532 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 1054, 8826, 79532 is 2.
HCF(1054, 8826, 79532) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1054, 8826, 79532 is 2.
Step 1: Since 8826 > 1054, we apply the division lemma to 8826 and 1054, to get
8826 = 1054 x 8 + 394
Step 2: Since the reminder 1054 ≠ 0, we apply division lemma to 394 and 1054, to get
1054 = 394 x 2 + 266
Step 3: We consider the new divisor 394 and the new remainder 266, and apply the division lemma to get
394 = 266 x 1 + 128
We consider the new divisor 266 and the new remainder 128,and apply the division lemma to get
266 = 128 x 2 + 10
We consider the new divisor 128 and the new remainder 10,and apply the division lemma to get
128 = 10 x 12 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1054 and 8826 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(128,10) = HCF(266,128) = HCF(394,266) = HCF(1054,394) = HCF(8826,1054) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 79532 > 2, we apply the division lemma to 79532 and 2, to get
79532 = 2 x 39766 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 79532 is 2
Notice that 2 = HCF(79532,2) .
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 1054, 8826, 79532?
Answer: HCF of 1054, 8826, 79532 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1054, 8826, 79532 using Euclid's Algorithm?
Answer: For arbitrary numbers 1054, 8826, 79532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.