Highest Common Factor of 7585, 5354 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 7585, 5354 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7585, 5354 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 7585, 5354 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 7585, 5354 is 1.
HCF(7585, 5354) = 1
HCF of 7585, 5354 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7585, 5354 is 1.
Highest Common Factor of 7585,5354 is 1
Step 1: Since 7585 > 5354, we apply the division lemma to 7585 and 5354, to get
7585 = 5354 x 1 + 2231
Step 2: Since the reminder 5354 ≠ 0, we apply division lemma to 2231 and 5354, to get
5354 = 2231 x 2 + 892
Step 3: We consider the new divisor 2231 and the new remainder 892, and apply the division lemma to get
2231 = 892 x 2 + 447
We consider the new divisor 892 and the new remainder 447,and apply the division lemma to get
892 = 447 x 1 + 445
We consider the new divisor 447 and the new remainder 445,and apply the division lemma to get
447 = 445 x 1 + 2
We consider the new divisor 445 and the new remainder 2,and apply the division lemma to get
445 = 2 x 222 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7585 and 5354 is 1
Notice that 1 = HCF(2,1) = HCF(445,2) = HCF(447,445) = HCF(892,447) = HCF(2231,892) = HCF(5354,2231) = HCF(7585,5354) .
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Frequently Asked Questions on HCF of 7585, 5354 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 7585, 5354?
Answer: HCF of 7585, 5354 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7585, 5354 using Euclid's Algorithm?
Answer: For arbitrary numbers 7585, 5354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
