Highest Common Factor of 3003, 7905 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 3003, 7905 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3003, 7905 is 3 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 3003, 7905 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 3003, 7905 is 3.
HCF(3003, 7905) = 3
HCF of 3003, 7905 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3003, 7905 is 3.
Highest Common Factor of 3003,7905 is 3
Step 1: Since 7905 > 3003, we apply the division lemma to 7905 and 3003, to get
7905 = 3003 x 2 + 1899
Step 2: Since the reminder 3003 ≠ 0, we apply division lemma to 1899 and 3003, to get
3003 = 1899 x 1 + 1104
Step 3: We consider the new divisor 1899 and the new remainder 1104, and apply the division lemma to get
1899 = 1104 x 1 + 795
We consider the new divisor 1104 and the new remainder 795,and apply the division lemma to get
1104 = 795 x 1 + 309
We consider the new divisor 795 and the new remainder 309,and apply the division lemma to get
795 = 309 x 2 + 177
We consider the new divisor 309 and the new remainder 177,and apply the division lemma to get
309 = 177 x 1 + 132
We consider the new divisor 177 and the new remainder 132,and apply the division lemma to get
177 = 132 x 1 + 45
We consider the new divisor 132 and the new remainder 45,and apply the division lemma to get
132 = 45 x 2 + 42
We consider the new divisor 45 and the new remainder 42,and apply the division lemma to get
45 = 42 x 1 + 3
We consider the new divisor 42 and the new remainder 3,and apply the division lemma to get
42 = 3 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3003 and 7905 is 3
Notice that 3 = HCF(42,3) = HCF(45,42) = HCF(132,45) = HCF(177,132) = HCF(309,177) = HCF(795,309) = HCF(1104,795) = HCF(1899,1104) = HCF(3003,1899) = HCF(7905,3003) .
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Frequently Asked Questions on HCF of 3003, 7905 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 3003, 7905?
Answer: HCF of 3003, 7905 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3003, 7905 using Euclid's Algorithm?
Answer: For arbitrary numbers 3003, 7905 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
