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 584, 888, 965, 801 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 584, 888, 965, 801 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 584, 888, 965, 801 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 584, 888, 965, 801 is 1.
HCF(584, 888, 965, 801) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 584, 888, 965, 801 is 1.
Step 1: Since 888 > 584, we apply the division lemma to 888 and 584, to get
888 = 584 x 1 + 304
Step 2: Since the reminder 584 ≠ 0, we apply division lemma to 304 and 584, to get
584 = 304 x 1 + 280
Step 3: We consider the new divisor 304 and the new remainder 280, and apply the division lemma to get
304 = 280 x 1 + 24
We consider the new divisor 280 and the new remainder 24,and apply the division lemma to get
280 = 24 x 11 + 16
We consider the new divisor 24 and the new remainder 16,and apply the division lemma to get
24 = 16 x 1 + 8
We consider the new divisor 16 and the new remainder 8,and apply the division lemma to get
16 = 8 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 584 and 888 is 8
Notice that 8 = HCF(16,8) = HCF(24,16) = HCF(280,24) = HCF(304,280) = HCF(584,304) = HCF(888,584) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 965 > 8, we apply the division lemma to 965 and 8, to get
965 = 8 x 120 + 5
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 5 and 8, to get
8 = 5 x 1 + 3
Step 3: We consider the new divisor 5 and the new remainder 3, and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8 and 965 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(965,8) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 801 > 1, we apply the division lemma to 801 and 1, to get
801 = 1 x 801 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 801 is 1
Notice that 1 = HCF(801,1) .
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 584, 888, 965, 801?
Answer: HCF of 584, 888, 965, 801 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 584, 888, 965, 801 using Euclid's Algorithm?
Answer: For arbitrary numbers 584, 888, 965, 801 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.