Highest Common Factor of 7577, 8823 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 7577, 8823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7577, 8823 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 7577, 8823 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 7577, 8823 is 1.
HCF(7577, 8823) = 1
HCF of 7577, 8823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7577, 8823 is 1.
Highest Common Factor of 7577,8823 is 1
Step 1: Since 8823 > 7577, we apply the division lemma to 8823 and 7577, to get
8823 = 7577 x 1 + 1246
Step 2: Since the reminder 7577 ≠ 0, we apply division lemma to 1246 and 7577, to get
7577 = 1246 x 6 + 101
Step 3: We consider the new divisor 1246 and the new remainder 101, and apply the division lemma to get
1246 = 101 x 12 + 34
We consider the new divisor 101 and the new remainder 34,and apply the division lemma to get
101 = 34 x 2 + 33
We consider the new divisor 34 and the new remainder 33,and apply the division lemma to get
34 = 33 x 1 + 1
We consider the new divisor 33 and the new remainder 1,and apply the division lemma to get
33 = 1 x 33 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7577 and 8823 is 1
Notice that 1 = HCF(33,1) = HCF(34,33) = HCF(101,34) = HCF(1246,101) = HCF(7577,1246) = HCF(8823,7577) .
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Frequently Asked Questions on HCF of 7577, 8823 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 7577, 8823?
Answer: HCF of 7577, 8823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7577, 8823 using Euclid's Algorithm?
Answer: For arbitrary numbers 7577, 8823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.