Highest Common Factor of 1560, 2907 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 1560, 2907 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 1560, 2907 is 3 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 1560, 2907 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 1560, 2907 is 3.
HCF(1560, 2907) = 3
HCF of 1560, 2907 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1560, 2907 is 3.
Highest Common Factor of 1560,2907 is 3
Step 1: Since 2907 > 1560, we apply the division lemma to 2907 and 1560, to get
2907 = 1560 x 1 + 1347
Step 2: Since the reminder 1560 ≠ 0, we apply division lemma to 1347 and 1560, to get
1560 = 1347 x 1 + 213
Step 3: We consider the new divisor 1347 and the new remainder 213, and apply the division lemma to get
1347 = 213 x 6 + 69
We consider the new divisor 213 and the new remainder 69,and apply the division lemma to get
213 = 69 x 3 + 6
We consider the new divisor 69 and the new remainder 6,and apply the division lemma to get
69 = 6 x 11 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 1560 and 2907 is 3
Notice that 3 = HCF(6,3) = HCF(69,6) = HCF(213,69) = HCF(1347,213) = HCF(1560,1347) = HCF(2907,1560) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 1560, 2907 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 1560, 2907?
Answer: HCF of 1560, 2907 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1560, 2907 using Euclid's Algorithm?
Answer: For arbitrary numbers 1560, 2907 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.