Highest Common Factor of 7504, 8557 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 7504, 8557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7504, 8557 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 7504, 8557 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 7504, 8557 is 1.
HCF(7504, 8557) = 1
HCF of 7504, 8557 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7504, 8557 is 1.
Highest Common Factor of 7504,8557 is 1
Step 1: Since 8557 > 7504, we apply the division lemma to 8557 and 7504, to get
8557 = 7504 x 1 + 1053
Step 2: Since the reminder 7504 ≠ 0, we apply division lemma to 1053 and 7504, to get
7504 = 1053 x 7 + 133
Step 3: We consider the new divisor 1053 and the new remainder 133, and apply the division lemma to get
1053 = 133 x 7 + 122
We consider the new divisor 133 and the new remainder 122,and apply the division lemma to get
133 = 122 x 1 + 11
We consider the new divisor 122 and the new remainder 11,and apply the division lemma to get
122 = 11 x 11 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7504 and 8557 is 1
Notice that 1 = HCF(11,1) = HCF(122,11) = HCF(133,122) = HCF(1053,133) = HCF(7504,1053) = HCF(8557,7504) .
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Frequently Asked Questions on HCF of 7504, 8557 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 7504, 8557?
Answer: HCF of 7504, 8557 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7504, 8557 using Euclid's Algorithm?
Answer: For arbitrary numbers 7504, 8557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.