Highest Common Factor of 1175, 4444 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 1175, 4444 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1175, 4444 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 1175, 4444 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 1175, 4444 is 1.
HCF(1175, 4444) = 1
HCF of 1175, 4444 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1175, 4444 is 1.
Highest Common Factor of 1175,4444 is 1
Step 1: Since 4444 > 1175, we apply the division lemma to 4444 and 1175, to get
4444 = 1175 x 3 + 919
Step 2: Since the reminder 1175 ≠ 0, we apply division lemma to 919 and 1175, to get
1175 = 919 x 1 + 256
Step 3: We consider the new divisor 919 and the new remainder 256, and apply the division lemma to get
919 = 256 x 3 + 151
We consider the new divisor 256 and the new remainder 151,and apply the division lemma to get
256 = 151 x 1 + 105
We consider the new divisor 151 and the new remainder 105,and apply the division lemma to get
151 = 105 x 1 + 46
We consider the new divisor 105 and the new remainder 46,and apply the division lemma to get
105 = 46 x 2 + 13
We consider the new divisor 46 and the new remainder 13,and apply the division lemma to get
46 = 13 x 3 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1175 and 4444 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(46,13) = HCF(105,46) = HCF(151,105) = HCF(256,151) = HCF(919,256) = HCF(1175,919) = HCF(4444,1175) .
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Frequently Asked Questions on HCF of 1175, 4444 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 1175, 4444?
Answer: HCF of 1175, 4444 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1175, 4444 using Euclid's Algorithm?
Answer: For arbitrary numbers 1175, 4444 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.