Highest Common Factor of 2885, 7577 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 2885, 7577 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2885, 7577 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 2885, 7577 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 2885, 7577 is 1.
HCF(2885, 7577) = 1
HCF of 2885, 7577 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2885, 7577 is 1.
Highest Common Factor of 2885,7577 is 1
Step 1: Since 7577 > 2885, we apply the division lemma to 7577 and 2885, to get
7577 = 2885 x 2 + 1807
Step 2: Since the reminder 2885 ≠ 0, we apply division lemma to 1807 and 2885, to get
2885 = 1807 x 1 + 1078
Step 3: We consider the new divisor 1807 and the new remainder 1078, and apply the division lemma to get
1807 = 1078 x 1 + 729
We consider the new divisor 1078 and the new remainder 729,and apply the division lemma to get
1078 = 729 x 1 + 349
We consider the new divisor 729 and the new remainder 349,and apply the division lemma to get
729 = 349 x 2 + 31
We consider the new divisor 349 and the new remainder 31,and apply the division lemma to get
349 = 31 x 11 + 8
We consider the new divisor 31 and the new remainder 8,and apply the division lemma to get
31 = 8 x 3 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2885 and 7577 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(31,8) = HCF(349,31) = HCF(729,349) = HCF(1078,729) = HCF(1807,1078) = HCF(2885,1807) = HCF(7577,2885) .
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Frequently Asked Questions on HCF of 2885, 7577 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 2885, 7577?
Answer: HCF of 2885, 7577 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2885, 7577 using Euclid's Algorithm?
Answer: For arbitrary numbers 2885, 7577 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.