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 8953, 7723, 35281 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8953, 7723, 35281 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 8953, 7723, 35281 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 8953, 7723, 35281 is 1.
HCF(8953, 7723, 35281) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8953, 7723, 35281 is 1.
Step 1: Since 8953 > 7723, we apply the division lemma to 8953 and 7723, to get
8953 = 7723 x 1 + 1230
Step 2: Since the reminder 7723 ≠ 0, we apply division lemma to 1230 and 7723, to get
7723 = 1230 x 6 + 343
Step 3: We consider the new divisor 1230 and the new remainder 343, and apply the division lemma to get
1230 = 343 x 3 + 201
We consider the new divisor 343 and the new remainder 201,and apply the division lemma to get
343 = 201 x 1 + 142
We consider the new divisor 201 and the new remainder 142,and apply the division lemma to get
201 = 142 x 1 + 59
We consider the new divisor 142 and the new remainder 59,and apply the division lemma to get
142 = 59 x 2 + 24
We consider the new divisor 59 and the new remainder 24,and apply the division lemma to get
59 = 24 x 2 + 11
We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get
24 = 11 x 2 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 8953 and 7723 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(59,24) = HCF(142,59) = HCF(201,142) = HCF(343,201) = HCF(1230,343) = HCF(7723,1230) = HCF(8953,7723) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 35281 > 1, we apply the division lemma to 35281 and 1, to get
35281 = 1 x 35281 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35281 is 1
Notice that 1 = HCF(35281,1) .
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 8953, 7723, 35281?
Answer: HCF of 8953, 7723, 35281 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8953, 7723, 35281 using Euclid's Algorithm?
Answer: For arbitrary numbers 8953, 7723, 35281 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.