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 526, 912 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 526, 912 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 526, 912 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 526, 912 is 2.
HCF(526, 912) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 526, 912 is 2.
Step 1: Since 912 > 526, we apply the division lemma to 912 and 526, to get
912 = 526 x 1 + 386
Step 2: Since the reminder 526 ≠ 0, we apply division lemma to 386 and 526, to get
526 = 386 x 1 + 140
Step 3: We consider the new divisor 386 and the new remainder 140, and apply the division lemma to get
386 = 140 x 2 + 106
We consider the new divisor 140 and the new remainder 106,and apply the division lemma to get
140 = 106 x 1 + 34
We consider the new divisor 106 and the new remainder 34,and apply the division lemma to get
106 = 34 x 3 + 4
We consider the new divisor 34 and the new remainder 4,and apply the division lemma to get
34 = 4 x 8 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 526 and 912 is 2
Notice that 2 = HCF(4,2) = HCF(34,4) = HCF(106,34) = HCF(140,106) = HCF(386,140) = HCF(526,386) = HCF(912,526) .
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 526, 912?
Answer: HCF of 526, 912 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 526, 912 using Euclid's Algorithm?
Answer: For arbitrary numbers 526, 912 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.