Highest Common Factor of 7302, 4175 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 7302, 4175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7302, 4175 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 7302, 4175 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 7302, 4175 is 1.
HCF(7302, 4175) = 1
HCF of 7302, 4175 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7302, 4175 is 1.
Highest Common Factor of 7302,4175 is 1
Step 1: Since 7302 > 4175, we apply the division lemma to 7302 and 4175, to get
7302 = 4175 x 1 + 3127
Step 2: Since the reminder 4175 ≠ 0, we apply division lemma to 3127 and 4175, to get
4175 = 3127 x 1 + 1048
Step 3: We consider the new divisor 3127 and the new remainder 1048, and apply the division lemma to get
3127 = 1048 x 2 + 1031
We consider the new divisor 1048 and the new remainder 1031,and apply the division lemma to get
1048 = 1031 x 1 + 17
We consider the new divisor 1031 and the new remainder 17,and apply the division lemma to get
1031 = 17 x 60 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7302 and 4175 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(1031,17) = HCF(1048,1031) = HCF(3127,1048) = HCF(4175,3127) = HCF(7302,4175) .
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Frequently Asked Questions on HCF of 7302, 4175 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 7302, 4175?
Answer: HCF of 7302, 4175 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7302, 4175 using Euclid's Algorithm?
Answer: For arbitrary numbers 7302, 4175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.