Highest Common Factor of 3010, 1770 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 3010, 1770 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 3010, 1770 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 3010, 1770 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 3010, 1770 is 10.
HCF(3010, 1770) = 10
HCF of 3010, 1770 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3010, 1770 is 10.
Highest Common Factor of 3010,1770 is 10
Step 1: Since 3010 > 1770, we apply the division lemma to 3010 and 1770, to get
3010 = 1770 x 1 + 1240
Step 2: Since the reminder 1770 ≠ 0, we apply division lemma to 1240 and 1770, to get
1770 = 1240 x 1 + 530
Step 3: We consider the new divisor 1240 and the new remainder 530, and apply the division lemma to get
1240 = 530 x 2 + 180
We consider the new divisor 530 and the new remainder 180,and apply the division lemma to get
530 = 180 x 2 + 170
We consider the new divisor 180 and the new remainder 170,and apply the division lemma to get
180 = 170 x 1 + 10
We consider the new divisor 170 and the new remainder 10,and apply the division lemma to get
170 = 10 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 3010 and 1770 is 10
Notice that 10 = HCF(170,10) = HCF(180,170) = HCF(530,180) = HCF(1240,530) = HCF(1770,1240) = HCF(3010,1770) .
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Frequently Asked Questions on HCF of 3010, 1770 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 3010, 1770?
Answer: HCF of 3010, 1770 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3010, 1770 using Euclid's Algorithm?
Answer: For arbitrary numbers 3010, 1770 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.