Highest Common Factor of 7999, 3175 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 7999, 3175 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7999, 3175 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 7999, 3175 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 7999, 3175 is 1.
HCF(7999, 3175) = 1
HCF of 7999, 3175 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7999, 3175 is 1.
Highest Common Factor of 7999,3175 is 1
Step 1: Since 7999 > 3175, we apply the division lemma to 7999 and 3175, to get
7999 = 3175 x 2 + 1649
Step 2: Since the reminder 3175 ≠ 0, we apply division lemma to 1649 and 3175, to get
3175 = 1649 x 1 + 1526
Step 3: We consider the new divisor 1649 and the new remainder 1526, and apply the division lemma to get
1649 = 1526 x 1 + 123
We consider the new divisor 1526 and the new remainder 123,and apply the division lemma to get
1526 = 123 x 12 + 50
We consider the new divisor 123 and the new remainder 50,and apply the division lemma to get
123 = 50 x 2 + 23
We consider the new divisor 50 and the new remainder 23,and apply the division lemma to get
50 = 23 x 2 + 4
We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get
23 = 4 x 5 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7999 and 3175 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(50,23) = HCF(123,50) = HCF(1526,123) = HCF(1649,1526) = HCF(3175,1649) = HCF(7999,3175) .
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Frequently Asked Questions on HCF of 7999, 3175 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 7999, 3175?
Answer: HCF of 7999, 3175 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7999, 3175 using Euclid's Algorithm?
Answer: For arbitrary numbers 7999, 3175 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
