Highest Common Factor of 8777, 7288 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 8777, 7288 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8777, 7288 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 8777, 7288 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 8777, 7288 is 1.
HCF(8777, 7288) = 1
HCF of 8777, 7288 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8777, 7288 is 1.
Highest Common Factor of 8777,7288 is 1
Step 1: Since 8777 > 7288, we apply the division lemma to 8777 and 7288, to get
8777 = 7288 x 1 + 1489
Step 2: Since the reminder 7288 ≠ 0, we apply division lemma to 1489 and 7288, to get
7288 = 1489 x 4 + 1332
Step 3: We consider the new divisor 1489 and the new remainder 1332, and apply the division lemma to get
1489 = 1332 x 1 + 157
We consider the new divisor 1332 and the new remainder 157,and apply the division lemma to get
1332 = 157 x 8 + 76
We consider the new divisor 157 and the new remainder 76,and apply the division lemma to get
157 = 76 x 2 + 5
We consider the new divisor 76 and the new remainder 5,and apply the division lemma to get
76 = 5 x 15 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8777 and 7288 is 1
Notice that 1 = HCF(5,1) = HCF(76,5) = HCF(157,76) = HCF(1332,157) = HCF(1489,1332) = HCF(7288,1489) = HCF(8777,7288) .
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Frequently Asked Questions on HCF of 8777, 7288 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 8777, 7288?
Answer: HCF of 8777, 7288 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8777, 7288 using Euclid's Algorithm?
Answer: For arbitrary numbers 8777, 7288 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.