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, 366, 923, 931 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 527, 366, 923, 931 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, 366, 923, 931 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, 366, 923, 931 is 1.
HCF(527, 366, 923, 931) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 527, 366, 923, 931 is 1.
Step 1: Since 527 > 366, we apply the division lemma to 527 and 366, to get
527 = 366 x 1 + 161
Step 2: Since the reminder 366 ≠ 0, we apply division lemma to 161 and 366, to get
366 = 161 x 2 + 44
Step 3: We consider the new divisor 161 and the new remainder 44, and apply the division lemma to get
161 = 44 x 3 + 29
We consider the new divisor 44 and the new remainder 29,and apply the division lemma to get
44 = 29 x 1 + 15
We consider the new divisor 29 and the new remainder 15,and apply the division lemma to get
29 = 15 x 1 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 527 and 366 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(29,15) = HCF(44,29) = HCF(161,44) = HCF(366,161) = HCF(527,366) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 923 > 1, we apply the division lemma to 923 and 1, to get
923 = 1 x 923 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 923 is 1
Notice that 1 = HCF(923,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 931 > 1, we apply the division lemma to 931 and 1, to get
931 = 1 x 931 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 931 is 1
Notice that 1 = HCF(931,1) .
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 527, 366, 923, 931?
Answer: HCF of 527, 366, 923, 931 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 527, 366, 923, 931 using Euclid's Algorithm?
Answer: For arbitrary numbers 527, 366, 923, 931 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.