Highest Common Factor of 8982, 1310, 44024 using Euclid's algorithm
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 8982, 1310, 44024 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8982, 1310, 44024 is 2 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 8982, 1310, 44024 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 8982, 1310, 44024 is 2.
HCF(8982, 1310, 44024) = 2
HCF of 8982, 1310, 44024 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8982, 1310, 44024 is 2.
Highest Common Factor of 8982,1310,44024 is 2
Step 1: Since 8982 > 1310, we apply the division lemma to 8982 and 1310, to get
8982 = 1310 x 6 + 1122
Step 2: Since the reminder 1310 ≠ 0, we apply division lemma to 1122 and 1310, to get
1310 = 1122 x 1 + 188
Step 3: We consider the new divisor 1122 and the new remainder 188, and apply the division lemma to get
1122 = 188 x 5 + 182
We consider the new divisor 188 and the new remainder 182,and apply the division lemma to get
188 = 182 x 1 + 6
We consider the new divisor 182 and the new remainder 6,and apply the division lemma to get
182 = 6 x 30 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8982 and 1310 is 2
Notice that 2 = HCF(6,2) = HCF(182,6) = HCF(188,182) = HCF(1122,188) = HCF(1310,1122) = HCF(8982,1310) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 44024 > 2, we apply the division lemma to 44024 and 2, to get
44024 = 2 x 22012 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 44024 is 2
Notice that 2 = HCF(44024,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8982, 1310, 44024 using Euclid's Algorithm
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 8982, 1310, 44024?
Answer: HCF of 8982, 1310, 44024 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8982, 1310, 44024 using Euclid's Algorithm?
Answer: For arbitrary numbers 8982, 1310, 44024 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.