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 910, 477, 868, 321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 910, 477, 868, 321 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 910, 477, 868, 321 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 910, 477, 868, 321 is 1.
HCF(910, 477, 868, 321) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 910, 477, 868, 321 is 1.
Step 1: Since 910 > 477, we apply the division lemma to 910 and 477, to get
910 = 477 x 1 + 433
Step 2: Since the reminder 477 ≠ 0, we apply division lemma to 433 and 477, to get
477 = 433 x 1 + 44
Step 3: We consider the new divisor 433 and the new remainder 44, and apply the division lemma to get
433 = 44 x 9 + 37
We consider the new divisor 44 and the new remainder 37,and apply the division lemma to get
44 = 37 x 1 + 7
We consider the new divisor 37 and the new remainder 7,and apply the division lemma to get
37 = 7 x 5 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 910 and 477 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(37,7) = HCF(44,37) = HCF(433,44) = HCF(477,433) = HCF(910,477) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 868 > 1, we apply the division lemma to 868 and 1, to get
868 = 1 x 868 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 868 is 1
Notice that 1 = HCF(868,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 321 > 1, we apply the division lemma to 321 and 1, to get
321 = 1 x 321 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 321 is 1
Notice that 1 = HCF(321,1) .
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 910, 477, 868, 321?
Answer: HCF of 910, 477, 868, 321 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 910, 477, 868, 321 using Euclid's Algorithm?
Answer: For arbitrary numbers 910, 477, 868, 321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.