Highest Common Factor of 6147, 7552 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 6147, 7552 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6147, 7552 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 6147, 7552 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 6147, 7552 is 1.
HCF(6147, 7552) = 1
HCF of 6147, 7552 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6147, 7552 is 1.
Highest Common Factor of 6147,7552 is 1
Step 1: Since 7552 > 6147, we apply the division lemma to 7552 and 6147, to get
7552 = 6147 x 1 + 1405
Step 2: Since the reminder 6147 ≠ 0, we apply division lemma to 1405 and 6147, to get
6147 = 1405 x 4 + 527
Step 3: We consider the new divisor 1405 and the new remainder 527, and apply the division lemma to get
1405 = 527 x 2 + 351
We consider the new divisor 527 and the new remainder 351,and apply the division lemma to get
527 = 351 x 1 + 176
We consider the new divisor 351 and the new remainder 176,and apply the division lemma to get
351 = 176 x 1 + 175
We consider the new divisor 176 and the new remainder 175,and apply the division lemma to get
176 = 175 x 1 + 1
We consider the new divisor 175 and the new remainder 1,and apply the division lemma to get
175 = 1 x 175 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6147 and 7552 is 1
Notice that 1 = HCF(175,1) = HCF(176,175) = HCF(351,176) = HCF(527,351) = HCF(1405,527) = HCF(6147,1405) = HCF(7552,6147) .
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Frequently Asked Questions on HCF of 6147, 7552 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 6147, 7552?
Answer: HCF of 6147, 7552 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6147, 7552 using Euclid's Algorithm?
Answer: For arbitrary numbers 6147, 7552 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
