Highest Common Factor of 7908, 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 7908, 4175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7908, 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 7908, 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 7908, 4175 is 1.
HCF(7908, 4175) = 1
HCF of 7908, 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 7908, 4175 is 1.
Highest Common Factor of 7908,4175 is 1
Step 1: Since 7908 > 4175, we apply the division lemma to 7908 and 4175, to get
7908 = 4175 x 1 + 3733
Step 2: Since the reminder 4175 ≠ 0, we apply division lemma to 3733 and 4175, to get
4175 = 3733 x 1 + 442
Step 3: We consider the new divisor 3733 and the new remainder 442, and apply the division lemma to get
3733 = 442 x 8 + 197
We consider the new divisor 442 and the new remainder 197,and apply the division lemma to get
442 = 197 x 2 + 48
We consider the new divisor 197 and the new remainder 48,and apply the division lemma to get
197 = 48 x 4 + 5
We consider the new divisor 48 and the new remainder 5,and apply the division lemma to get
48 = 5 x 9 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7908 and 4175 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(48,5) = HCF(197,48) = HCF(442,197) = HCF(3733,442) = HCF(4175,3733) = HCF(7908,4175) .
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Frequently Asked Questions on HCF of 7908, 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 7908, 4175?
Answer: HCF of 7908, 4175 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7908, 4175 using Euclid's Algorithm?
Answer: For arbitrary numbers 7908, 4175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.