Highest Common Factor of 7288, 1396 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 7288, 1396 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 7288, 1396 is 4 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 7288, 1396 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 7288, 1396 is 4.
HCF(7288, 1396) = 4
HCF of 7288, 1396 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7288, 1396 is 4.
Highest Common Factor of 7288,1396 is 4
Step 1: Since 7288 > 1396, we apply the division lemma to 7288 and 1396, to get
7288 = 1396 x 5 + 308
Step 2: Since the reminder 1396 ≠ 0, we apply division lemma to 308 and 1396, to get
1396 = 308 x 4 + 164
Step 3: We consider the new divisor 308 and the new remainder 164, and apply the division lemma to get
308 = 164 x 1 + 144
We consider the new divisor 164 and the new remainder 144,and apply the division lemma to get
164 = 144 x 1 + 20
We consider the new divisor 144 and the new remainder 20,and apply the division lemma to get
144 = 20 x 7 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 7288 and 1396 is 4
Notice that 4 = HCF(20,4) = HCF(144,20) = HCF(164,144) = HCF(308,164) = HCF(1396,308) = HCF(7288,1396) .
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Frequently Asked Questions on HCF of 7288, 1396 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 7288, 1396?
Answer: HCF of 7288, 1396 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7288, 1396 using Euclid's Algorithm?
Answer: For arbitrary numbers 7288, 1396 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
