Highest Common Factor of 4260, 5670 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 4260, 5670 i.e. 30 the largest integer that leaves a remainder zero for all numbers.
HCF of 4260, 5670 is 30 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 4260, 5670 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 4260, 5670 is 30.
HCF(4260, 5670) = 30
HCF of 4260, 5670 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4260, 5670 is 30.
Highest Common Factor of 4260,5670 is 30
Step 1: Since 5670 > 4260, we apply the division lemma to 5670 and 4260, to get
5670 = 4260 x 1 + 1410
Step 2: Since the reminder 4260 ≠ 0, we apply division lemma to 1410 and 4260, to get
4260 = 1410 x 3 + 30
Step 3: We consider the new divisor 1410 and the new remainder 30, and apply the division lemma to get
1410 = 30 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 30, the HCF of 4260 and 5670 is 30
Notice that 30 = HCF(1410,30) = HCF(4260,1410) = HCF(5670,4260) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 4260, 5670 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 4260, 5670?
Answer: HCF of 4260, 5670 is 30 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4260, 5670 using Euclid's Algorithm?
Answer: For arbitrary numbers 4260, 5670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.