Highest Common Factor of 5304, 7041 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 5304, 7041 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5304, 7041 is 3 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 5304, 7041 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 5304, 7041 is 3.
HCF(5304, 7041) = 3
HCF of 5304, 7041 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5304, 7041 is 3.
Highest Common Factor of 5304,7041 is 3
Step 1: Since 7041 > 5304, we apply the division lemma to 7041 and 5304, to get
7041 = 5304 x 1 + 1737
Step 2: Since the reminder 5304 ≠ 0, we apply division lemma to 1737 and 5304, to get
5304 = 1737 x 3 + 93
Step 3: We consider the new divisor 1737 and the new remainder 93, and apply the division lemma to get
1737 = 93 x 18 + 63
We consider the new divisor 93 and the new remainder 63,and apply the division lemma to get
93 = 63 x 1 + 30
We consider the new divisor 63 and the new remainder 30,and apply the division lemma to get
63 = 30 x 2 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5304 and 7041 is 3
Notice that 3 = HCF(30,3) = HCF(63,30) = HCF(93,63) = HCF(1737,93) = HCF(5304,1737) = HCF(7041,5304) .
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Frequently Asked Questions on HCF of 5304, 7041 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 5304, 7041?
Answer: HCF of 5304, 7041 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5304, 7041 using Euclid's Algorithm?
Answer: For arbitrary numbers 5304, 7041 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.