Highest Common Factor of 6530, 1710 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 6530, 1710 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 6530, 1710 is 10 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 6530, 1710 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 6530, 1710 is 10.
HCF(6530, 1710) = 10
HCF of 6530, 1710 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6530, 1710 is 10.
Highest Common Factor of 6530,1710 is 10
Step 1: Since 6530 > 1710, we apply the division lemma to 6530 and 1710, to get
6530 = 1710 x 3 + 1400
Step 2: Since the reminder 1710 ≠ 0, we apply division lemma to 1400 and 1710, to get
1710 = 1400 x 1 + 310
Step 3: We consider the new divisor 1400 and the new remainder 310, and apply the division lemma to get
1400 = 310 x 4 + 160
We consider the new divisor 310 and the new remainder 160,and apply the division lemma to get
310 = 160 x 1 + 150
We consider the new divisor 160 and the new remainder 150,and apply the division lemma to get
160 = 150 x 1 + 10
We consider the new divisor 150 and the new remainder 10,and apply the division lemma to get
150 = 10 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 6530 and 1710 is 10
Notice that 10 = HCF(150,10) = HCF(160,150) = HCF(310,160) = HCF(1400,310) = HCF(1710,1400) = HCF(6530,1710) .
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Frequently Asked Questions on HCF of 6530, 1710 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 6530, 1710?
Answer: HCF of 6530, 1710 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6530, 1710 using Euclid's Algorithm?
Answer: For arbitrary numbers 6530, 1710 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.