Highest Common Factor of 1178, 4553 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 1178, 4553 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1178, 4553 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 1178, 4553 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 1178, 4553 is 1.
HCF(1178, 4553) = 1
HCF of 1178, 4553 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1178, 4553 is 1.
Highest Common Factor of 1178,4553 is 1
Step 1: Since 4553 > 1178, we apply the division lemma to 4553 and 1178, to get
4553 = 1178 x 3 + 1019
Step 2: Since the reminder 1178 ≠ 0, we apply division lemma to 1019 and 1178, to get
1178 = 1019 x 1 + 159
Step 3: We consider the new divisor 1019 and the new remainder 159, and apply the division lemma to get
1019 = 159 x 6 + 65
We consider the new divisor 159 and the new remainder 65,and apply the division lemma to get
159 = 65 x 2 + 29
We consider the new divisor 65 and the new remainder 29,and apply the division lemma to get
65 = 29 x 2 + 7
We consider the new divisor 29 and the new remainder 7,and apply the division lemma to get
29 = 7 x 4 + 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 1178 and 4553 is 1
Notice that 1 = HCF(7,1) = HCF(29,7) = HCF(65,29) = HCF(159,65) = HCF(1019,159) = HCF(1178,1019) = HCF(4553,1178) .
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Frequently Asked Questions on HCF of 1178, 4553 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 1178, 4553?
Answer: HCF of 1178, 4553 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1178, 4553 using Euclid's Algorithm?
Answer: For arbitrary numbers 1178, 4553 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
