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 7264, 3068, 92261 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7264, 3068, 92261 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 7264, 3068, 92261 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 7264, 3068, 92261 is 1.
HCF(7264, 3068, 92261) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7264, 3068, 92261 is 1.
Step 1: Since 7264 > 3068, we apply the division lemma to 7264 and 3068, to get
7264 = 3068 x 2 + 1128
Step 2: Since the reminder 3068 ≠ 0, we apply division lemma to 1128 and 3068, to get
3068 = 1128 x 2 + 812
Step 3: We consider the new divisor 1128 and the new remainder 812, and apply the division lemma to get
1128 = 812 x 1 + 316
We consider the new divisor 812 and the new remainder 316,and apply the division lemma to get
812 = 316 x 2 + 180
We consider the new divisor 316 and the new remainder 180,and apply the division lemma to get
316 = 180 x 1 + 136
We consider the new divisor 180 and the new remainder 136,and apply the division lemma to get
180 = 136 x 1 + 44
We consider the new divisor 136 and the new remainder 44,and apply the division lemma to get
136 = 44 x 3 + 4
We consider the new divisor 44 and the new remainder 4,and apply the division lemma to get
44 = 4 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7264 and 3068 is 4
Notice that 4 = HCF(44,4) = HCF(136,44) = HCF(180,136) = HCF(316,180) = HCF(812,316) = HCF(1128,812) = HCF(3068,1128) = HCF(7264,3068) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 92261 > 4, we apply the division lemma to 92261 and 4, to get
92261 = 4 x 23065 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 92261 is 1
Notice that 1 = HCF(4,1) = HCF(92261,4) .
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 7264, 3068, 92261?
Answer: HCF of 7264, 3068, 92261 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7264, 3068, 92261 using Euclid's Algorithm?
Answer: For arbitrary numbers 7264, 3068, 92261 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.