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 8753, 1584 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8753, 1584 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 8753, 1584 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 8753, 1584 is 1.
HCF(8753, 1584) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8753, 1584 is 1.
Step 1: Since 8753 > 1584, we apply the division lemma to 8753 and 1584, to get
8753 = 1584 x 5 + 833
Step 2: Since the reminder 1584 ≠ 0, we apply division lemma to 833 and 1584, to get
1584 = 833 x 1 + 751
Step 3: We consider the new divisor 833 and the new remainder 751, and apply the division lemma to get
833 = 751 x 1 + 82
We consider the new divisor 751 and the new remainder 82,and apply the division lemma to get
751 = 82 x 9 + 13
We consider the new divisor 82 and the new remainder 13,and apply the division lemma to get
82 = 13 x 6 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8753 and 1584 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(82,13) = HCF(751,82) = HCF(833,751) = HCF(1584,833) = HCF(8753,1584) .
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 8753, 1584?
Answer: HCF of 8753, 1584 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8753, 1584 using Euclid's Algorithm?
Answer: For arbitrary numbers 8753, 1584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.