Highest Common Factor of 6545, 5740 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 6545, 5740 i.e. 35 the largest integer that leaves a remainder zero for all numbers.
HCF of 6545, 5740 is 35 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 6545, 5740 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 6545, 5740 is 35.
HCF(6545, 5740) = 35
HCF of 6545, 5740 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6545, 5740 is 35.
Highest Common Factor of 6545,5740 is 35
Step 1: Since 6545 > 5740, we apply the division lemma to 6545 and 5740, to get
6545 = 5740 x 1 + 805
Step 2: Since the reminder 5740 ≠ 0, we apply division lemma to 805 and 5740, to get
5740 = 805 x 7 + 105
Step 3: We consider the new divisor 805 and the new remainder 105, and apply the division lemma to get
805 = 105 x 7 + 70
We consider the new divisor 105 and the new remainder 70,and apply the division lemma to get
105 = 70 x 1 + 35
We consider the new divisor 70 and the new remainder 35,and apply the division lemma to get
70 = 35 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 35, the HCF of 6545 and 5740 is 35
Notice that 35 = HCF(70,35) = HCF(105,70) = HCF(805,105) = HCF(5740,805) = HCF(6545,5740) .
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Frequently Asked Questions on HCF of 6545, 5740 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 6545, 5740?
Answer: HCF of 6545, 5740 is 35 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6545, 5740 using Euclid's Algorithm?
Answer: For arbitrary numbers 6545, 5740 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
