Highest Common Factor of 7880, 9123 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 7880, 9123 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7880, 9123 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 7880, 9123 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 7880, 9123 is 1.
HCF(7880, 9123) = 1
HCF of 7880, 9123 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7880, 9123 is 1.
Highest Common Factor of 7880,9123 is 1
Step 1: Since 9123 > 7880, we apply the division lemma to 9123 and 7880, to get
9123 = 7880 x 1 + 1243
Step 2: Since the reminder 7880 ≠ 0, we apply division lemma to 1243 and 7880, to get
7880 = 1243 x 6 + 422
Step 3: We consider the new divisor 1243 and the new remainder 422, and apply the division lemma to get
1243 = 422 x 2 + 399
We consider the new divisor 422 and the new remainder 399,and apply the division lemma to get
422 = 399 x 1 + 23
We consider the new divisor 399 and the new remainder 23,and apply the division lemma to get
399 = 23 x 17 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7880 and 9123 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(399,23) = HCF(422,399) = HCF(1243,422) = HCF(7880,1243) = HCF(9123,7880) .
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Frequently Asked Questions on HCF of 7880, 9123 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 7880, 9123?
Answer: HCF of 7880, 9123 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7880, 9123 using Euclid's Algorithm?
Answer: For arbitrary numbers 7880, 9123 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.