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 885, 938, 63, 471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 885, 938, 63, 471 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 885, 938, 63, 471 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 885, 938, 63, 471 is 1.
HCF(885, 938, 63, 471) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 885, 938, 63, 471 is 1.
Step 1: Since 938 > 885, we apply the division lemma to 938 and 885, to get
938 = 885 x 1 + 53
Step 2: Since the reminder 885 ≠ 0, we apply division lemma to 53 and 885, to get
885 = 53 x 16 + 37
Step 3: We consider the new divisor 53 and the new remainder 37, and apply the division lemma to get
53 = 37 x 1 + 16
We consider the new divisor 37 and the new remainder 16,and apply the division lemma to get
37 = 16 x 2 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 885 and 938 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(37,16) = HCF(53,37) = HCF(885,53) = HCF(938,885) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 63 > 1, we apply the division lemma to 63 and 1, to get
63 = 1 x 63 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63 is 1
Notice that 1 = HCF(63,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 471 > 1, we apply the division lemma to 471 and 1, to get
471 = 1 x 471 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 471 is 1
Notice that 1 = HCF(471,1) .
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 885, 938, 63, 471?
Answer: HCF of 885, 938, 63, 471 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 885, 938, 63, 471 using Euclid's Algorithm?
Answer: For arbitrary numbers 885, 938, 63, 471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.