Highest Common Factor of 3050, 7185 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 3050, 7185 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 3050, 7185 is 5 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 3050, 7185 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 3050, 7185 is 5.
HCF(3050, 7185) = 5
HCF of 3050, 7185 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3050, 7185 is 5.
Highest Common Factor of 3050,7185 is 5
Step 1: Since 7185 > 3050, we apply the division lemma to 7185 and 3050, to get
7185 = 3050 x 2 + 1085
Step 2: Since the reminder 3050 ≠ 0, we apply division lemma to 1085 and 3050, to get
3050 = 1085 x 2 + 880
Step 3: We consider the new divisor 1085 and the new remainder 880, and apply the division lemma to get
1085 = 880 x 1 + 205
We consider the new divisor 880 and the new remainder 205,and apply the division lemma to get
880 = 205 x 4 + 60
We consider the new divisor 205 and the new remainder 60,and apply the division lemma to get
205 = 60 x 3 + 25
We consider the new divisor 60 and the new remainder 25,and apply the division lemma to get
60 = 25 x 2 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3050 and 7185 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(60,25) = HCF(205,60) = HCF(880,205) = HCF(1085,880) = HCF(3050,1085) = HCF(7185,3050) .
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Frequently Asked Questions on HCF of 3050, 7185 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 3050, 7185?
Answer: HCF of 3050, 7185 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3050, 7185 using Euclid's Algorithm?
Answer: For arbitrary numbers 3050, 7185 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.