Highest Common Factor of 1104, 9328, 87185 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 1104, 9328, 87185 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1104, 9328, 87185 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 1104, 9328, 87185 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 1104, 9328, 87185 is 1.
HCF(1104, 9328, 87185) = 1
HCF of 1104, 9328, 87185 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1104, 9328, 87185 is 1.
Highest Common Factor of 1104,9328,87185 is 1
Step 1: Since 9328 > 1104, we apply the division lemma to 9328 and 1104, to get
9328 = 1104 x 8 + 496
Step 2: Since the reminder 1104 ≠ 0, we apply division lemma to 496 and 1104, to get
1104 = 496 x 2 + 112
Step 3: We consider the new divisor 496 and the new remainder 112, and apply the division lemma to get
496 = 112 x 4 + 48
We consider the new divisor 112 and the new remainder 48,and apply the division lemma to get
112 = 48 x 2 + 16
We consider the new divisor 48 and the new remainder 16,and apply the division lemma to get
48 = 16 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 1104 and 9328 is 16
Notice that 16 = HCF(48,16) = HCF(112,48) = HCF(496,112) = HCF(1104,496) = HCF(9328,1104) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 87185 > 16, we apply the division lemma to 87185 and 16, to get
87185 = 16 x 5449 + 1
Step 2: Since the reminder 16 ≠ 0, we apply division lemma to 1 and 16, to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 16 and 87185 is 1
Notice that 1 = HCF(16,1) = HCF(87185,16) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1104, 9328, 87185 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 1104, 9328, 87185?
Answer: HCF of 1104, 9328, 87185 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1104, 9328, 87185 using Euclid's Algorithm?
Answer: For arbitrary numbers 1104, 9328, 87185 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.