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, 855, 487, 882 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 526, 855, 487, 882 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 526, 855, 487, 882 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, 855, 487, 882 is 1.
HCF(526, 855, 487, 882) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 526, 855, 487, 882 is 1.
Step 1: Since 855 > 526, we apply the division lemma to 855 and 526, to get
855 = 526 x 1 + 329
Step 2: Since the reminder 526 ≠ 0, we apply division lemma to 329 and 526, to get
526 = 329 x 1 + 197
Step 3: We consider the new divisor 329 and the new remainder 197, and apply the division lemma to get
329 = 197 x 1 + 132
We consider the new divisor 197 and the new remainder 132,and apply the division lemma to get
197 = 132 x 1 + 65
We consider the new divisor 132 and the new remainder 65,and apply the division lemma to get
132 = 65 x 2 + 2
We consider the new divisor 65 and the new remainder 2,and apply the division lemma to get
65 = 2 x 32 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 526 and 855 is 1
Notice that 1 = HCF(2,1) = HCF(65,2) = HCF(132,65) = HCF(197,132) = HCF(329,197) = HCF(526,329) = HCF(855,526) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 487 > 1, we apply the division lemma to 487 and 1, to get
487 = 1 x 487 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 487 is 1
Notice that 1 = HCF(487,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 882 > 1, we apply the division lemma to 882 and 1, to get
882 = 1 x 882 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 882 is 1
Notice that 1 = HCF(882,1) .
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 526, 855, 487, 882?
Answer: HCF of 526, 855, 487, 882 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 526, 855, 487, 882 using Euclid's Algorithm?
Answer: For arbitrary numbers 526, 855, 487, 882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.