Highest Common Factor of 8091, 7776 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 8091, 7776 i.e. 9 the largest integer that leaves a remainder zero for all numbers.
HCF of 8091, 7776 is 9 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 8091, 7776 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 8091, 7776 is 9.
HCF(8091, 7776) = 9
HCF of 8091, 7776 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8091, 7776 is 9.
Highest Common Factor of 8091,7776 is 9
Step 1: Since 8091 > 7776, we apply the division lemma to 8091 and 7776, to get
8091 = 7776 x 1 + 315
Step 2: Since the reminder 7776 ≠ 0, we apply division lemma to 315 and 7776, to get
7776 = 315 x 24 + 216
Step 3: We consider the new divisor 315 and the new remainder 216, and apply the division lemma to get
315 = 216 x 1 + 99
We consider the new divisor 216 and the new remainder 99,and apply the division lemma to get
216 = 99 x 2 + 18
We consider the new divisor 99 and the new remainder 18,and apply the division lemma to get
99 = 18 x 5 + 9
We consider the new divisor 18 and the new remainder 9,and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 8091 and 7776 is 9
Notice that 9 = HCF(18,9) = HCF(99,18) = HCF(216,99) = HCF(315,216) = HCF(7776,315) = HCF(8091,7776) .
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Frequently Asked Questions on HCF of 8091, 7776 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 8091, 7776?
Answer: HCF of 8091, 7776 is 9 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8091, 7776 using Euclid's Algorithm?
Answer: For arbitrary numbers 8091, 7776 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
