Highest Common Factor of 3034, 8025 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 3034, 8025 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3034, 8025 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 3034, 8025 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 3034, 8025 is 1.
HCF(3034, 8025) = 1
HCF of 3034, 8025 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3034, 8025 is 1.
Highest Common Factor of 3034,8025 is 1
Step 1: Since 8025 > 3034, we apply the division lemma to 8025 and 3034, to get
8025 = 3034 x 2 + 1957
Step 2: Since the reminder 3034 ≠ 0, we apply division lemma to 1957 and 3034, to get
3034 = 1957 x 1 + 1077
Step 3: We consider the new divisor 1957 and the new remainder 1077, and apply the division lemma to get
1957 = 1077 x 1 + 880
We consider the new divisor 1077 and the new remainder 880,and apply the division lemma to get
1077 = 880 x 1 + 197
We consider the new divisor 880 and the new remainder 197,and apply the division lemma to get
880 = 197 x 4 + 92
We consider the new divisor 197 and the new remainder 92,and apply the division lemma to get
197 = 92 x 2 + 13
We consider the new divisor 92 and the new remainder 13,and apply the division lemma to get
92 = 13 x 7 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3034 and 8025 is 1
Notice that 1 = HCF(13,1) = HCF(92,13) = HCF(197,92) = HCF(880,197) = HCF(1077,880) = HCF(1957,1077) = HCF(3034,1957) = HCF(8025,3034) .
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Frequently Asked Questions on HCF of 3034, 8025 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 3034, 8025?
Answer: HCF of 3034, 8025 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3034, 8025 using Euclid's Algorithm?
Answer: For arbitrary numbers 3034, 8025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.