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 527, 806, 639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 527, 806, 639 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 527, 806, 639 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 527, 806, 639 is 1.
HCF(527, 806, 639) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 527, 806, 639 is 1.
Step 1: Since 806 > 527, we apply the division lemma to 806 and 527, to get
806 = 527 x 1 + 279
Step 2: Since the reminder 527 ≠ 0, we apply division lemma to 279 and 527, to get
527 = 279 x 1 + 248
Step 3: We consider the new divisor 279 and the new remainder 248, and apply the division lemma to get
279 = 248 x 1 + 31
We consider the new divisor 248 and the new remainder 31, and apply the division lemma to get
248 = 31 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 31, the HCF of 527 and 806 is 31
Notice that 31 = HCF(248,31) = HCF(279,248) = HCF(527,279) = HCF(806,527) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 639 > 31, we apply the division lemma to 639 and 31, to get
639 = 31 x 20 + 19
Step 2: Since the reminder 31 ≠ 0, we apply division lemma to 19 and 31, to get
31 = 19 x 1 + 12
Step 3: We consider the new divisor 19 and the new remainder 12, and apply the division lemma to get
19 = 12 x 1 + 7
We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 31 and 639 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(31,19) = HCF(639,31) .
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 527, 806, 639?
Answer: HCF of 527, 806, 639 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 527, 806, 639 using Euclid's Algorithm?
Answer: For arbitrary numbers 527, 806, 639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.