Highest Common Factor of 5022, 2944, 80450 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 5022, 2944, 80450 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5022, 2944, 80450 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 5022, 2944, 80450 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 5022, 2944, 80450 is 2.
HCF(5022, 2944, 80450) = 2
HCF of 5022, 2944, 80450 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5022, 2944, 80450 is 2.
Highest Common Factor of 5022,2944,80450 is 2
Step 1: Since 5022 > 2944, we apply the division lemma to 5022 and 2944, to get
5022 = 2944 x 1 + 2078
Step 2: Since the reminder 2944 ≠ 0, we apply division lemma to 2078 and 2944, to get
2944 = 2078 x 1 + 866
Step 3: We consider the new divisor 2078 and the new remainder 866, and apply the division lemma to get
2078 = 866 x 2 + 346
We consider the new divisor 866 and the new remainder 346,and apply the division lemma to get
866 = 346 x 2 + 174
We consider the new divisor 346 and the new remainder 174,and apply the division lemma to get
346 = 174 x 1 + 172
We consider the new divisor 174 and the new remainder 172,and apply the division lemma to get
174 = 172 x 1 + 2
We consider the new divisor 172 and the new remainder 2,and apply the division lemma to get
172 = 2 x 86 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5022 and 2944 is 2
Notice that 2 = HCF(172,2) = HCF(174,172) = HCF(346,174) = HCF(866,346) = HCF(2078,866) = HCF(2944,2078) = HCF(5022,2944) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 80450 > 2, we apply the division lemma to 80450 and 2, to get
80450 = 2 x 40225 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 80450 is 2
Notice that 2 = HCF(80450,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5022, 2944, 80450 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 5022, 2944, 80450?
Answer: HCF of 5022, 2944, 80450 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5022, 2944, 80450 using Euclid's Algorithm?
Answer: For arbitrary numbers 5022, 2944, 80450 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.