Highest Common Factor of 1750, 5452, 81312 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 1750, 5452, 81312 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1750, 5452, 81312 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 1750, 5452, 81312 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 1750, 5452, 81312 is 2.
HCF(1750, 5452, 81312) = 2
HCF of 1750, 5452, 81312 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1750, 5452, 81312 is 2.
Highest Common Factor of 1750,5452,81312 is 2
Step 1: Since 5452 > 1750, we apply the division lemma to 5452 and 1750, to get
5452 = 1750 x 3 + 202
Step 2: Since the reminder 1750 ≠ 0, we apply division lemma to 202 and 1750, to get
1750 = 202 x 8 + 134
Step 3: We consider the new divisor 202 and the new remainder 134, and apply the division lemma to get
202 = 134 x 1 + 68
We consider the new divisor 134 and the new remainder 68,and apply the division lemma to get
134 = 68 x 1 + 66
We consider the new divisor 68 and the new remainder 66,and apply the division lemma to get
68 = 66 x 1 + 2
We consider the new divisor 66 and the new remainder 2,and apply the division lemma to get
66 = 2 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1750 and 5452 is 2
Notice that 2 = HCF(66,2) = HCF(68,66) = HCF(134,68) = HCF(202,134) = HCF(1750,202) = HCF(5452,1750) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 81312 > 2, we apply the division lemma to 81312 and 2, to get
81312 = 2 x 40656 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 81312 is 2
Notice that 2 = HCF(81312,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1750, 5452, 81312 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 1750, 5452, 81312?
Answer: HCF of 1750, 5452, 81312 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1750, 5452, 81312 using Euclid's Algorithm?
Answer: For arbitrary numbers 1750, 5452, 81312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.