Highest Common Factor of 710, 5415 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 710, 5415 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 710, 5415 is 5 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 710, 5415 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 710, 5415 is 5.
HCF(710, 5415) = 5
HCF of 710, 5415 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 710, 5415 is 5.
Highest Common Factor of 710,5415 is 5
Step 1: Since 5415 > 710, we apply the division lemma to 5415 and 710, to get
5415 = 710 x 7 + 445
Step 2: Since the reminder 710 ≠ 0, we apply division lemma to 445 and 710, to get
710 = 445 x 1 + 265
Step 3: We consider the new divisor 445 and the new remainder 265, and apply the division lemma to get
445 = 265 x 1 + 180
We consider the new divisor 265 and the new remainder 180,and apply the division lemma to get
265 = 180 x 1 + 85
We consider the new divisor 180 and the new remainder 85,and apply the division lemma to get
180 = 85 x 2 + 10
We consider the new divisor 85 and the new remainder 10,and apply the division lemma to get
85 = 10 x 8 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 710 and 5415 is 5
Notice that 5 = HCF(10,5) = HCF(85,10) = HCF(180,85) = HCF(265,180) = HCF(445,265) = HCF(710,445) = HCF(5415,710) .
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Frequently Asked Questions on HCF of 710, 5415 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 710, 5415?
Answer: HCF of 710, 5415 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 710, 5415 using Euclid's Algorithm?
Answer: For arbitrary numbers 710, 5415 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
