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 1850, 8873, 93354 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1850, 8873, 93354 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 1850, 8873, 93354 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 1850, 8873, 93354 is 1.
HCF(1850, 8873, 93354) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1850, 8873, 93354 is 1.
Step 1: Since 8873 > 1850, we apply the division lemma to 8873 and 1850, to get
8873 = 1850 x 4 + 1473
Step 2: Since the reminder 1850 ≠ 0, we apply division lemma to 1473 and 1850, to get
1850 = 1473 x 1 + 377
Step 3: We consider the new divisor 1473 and the new remainder 377, and apply the division lemma to get
1473 = 377 x 3 + 342
We consider the new divisor 377 and the new remainder 342,and apply the division lemma to get
377 = 342 x 1 + 35
We consider the new divisor 342 and the new remainder 35,and apply the division lemma to get
342 = 35 x 9 + 27
We consider the new divisor 35 and the new remainder 27,and apply the division lemma to get
35 = 27 x 1 + 8
We consider the new divisor 27 and the new remainder 8,and apply the division lemma to get
27 = 8 x 3 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 1850 and 8873 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(27,8) = HCF(35,27) = HCF(342,35) = HCF(377,342) = HCF(1473,377) = HCF(1850,1473) = HCF(8873,1850) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93354 > 1, we apply the division lemma to 93354 and 1, to get
93354 = 1 x 93354 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93354 is 1
Notice that 1 = HCF(93354,1) .
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 1850, 8873, 93354?
Answer: HCF of 1850, 8873, 93354 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1850, 8873, 93354 using Euclid's Algorithm?
Answer: For arbitrary numbers 1850, 8873, 93354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.