Highest Common Factor of 8872, 7779, 89414 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 8872, 7779, 89414 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8872, 7779, 89414 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 8872, 7779, 89414 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 8872, 7779, 89414 is 1.
HCF(8872, 7779, 89414) = 1
HCF of 8872, 7779, 89414 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8872, 7779, 89414 is 1.
Highest Common Factor of 8872,7779,89414 is 1
Step 1: Since 8872 > 7779, we apply the division lemma to 8872 and 7779, to get
8872 = 7779 x 1 + 1093
Step 2: Since the reminder 7779 ≠ 0, we apply division lemma to 1093 and 7779, to get
7779 = 1093 x 7 + 128
Step 3: We consider the new divisor 1093 and the new remainder 128, and apply the division lemma to get
1093 = 128 x 8 + 69
We consider the new divisor 128 and the new remainder 69,and apply the division lemma to get
128 = 69 x 1 + 59
We consider the new divisor 69 and the new remainder 59,and apply the division lemma to get
69 = 59 x 1 + 10
We consider the new divisor 59 and the new remainder 10,and apply the division lemma to get
59 = 10 x 5 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8872 and 7779 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(59,10) = HCF(69,59) = HCF(128,69) = HCF(1093,128) = HCF(7779,1093) = HCF(8872,7779) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 89414 > 1, we apply the division lemma to 89414 and 1, to get
89414 = 1 x 89414 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 89414 is 1
Notice that 1 = HCF(89414,1) .
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Frequently Asked Questions on HCF of 8872, 7779, 89414 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 8872, 7779, 89414?
Answer: HCF of 8872, 7779, 89414 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8872, 7779, 89414 using Euclid's Algorithm?
Answer: For arbitrary numbers 8872, 7779, 89414 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.