Highest Common Factor of 7557, 9755 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 7557, 9755 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7557, 9755 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 7557, 9755 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 7557, 9755 is 1.
HCF(7557, 9755) = 1
HCF of 7557, 9755 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7557, 9755 is 1.
Highest Common Factor of 7557,9755 is 1
Step 1: Since 9755 > 7557, we apply the division lemma to 9755 and 7557, to get
9755 = 7557 x 1 + 2198
Step 2: Since the reminder 7557 ≠ 0, we apply division lemma to 2198 and 7557, to get
7557 = 2198 x 3 + 963
Step 3: We consider the new divisor 2198 and the new remainder 963, and apply the division lemma to get
2198 = 963 x 2 + 272
We consider the new divisor 963 and the new remainder 272,and apply the division lemma to get
963 = 272 x 3 + 147
We consider the new divisor 272 and the new remainder 147,and apply the division lemma to get
272 = 147 x 1 + 125
We consider the new divisor 147 and the new remainder 125,and apply the division lemma to get
147 = 125 x 1 + 22
We consider the new divisor 125 and the new remainder 22,and apply the division lemma to get
125 = 22 x 5 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 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 7557 and 9755 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(125,22) = HCF(147,125) = HCF(272,147) = HCF(963,272) = HCF(2198,963) = HCF(7557,2198) = HCF(9755,7557) .
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Frequently Asked Questions on HCF of 7557, 9755 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 7557, 9755?
Answer: HCF of 7557, 9755 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7557, 9755 using Euclid's Algorithm?
Answer: For arbitrary numbers 7557, 9755 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.