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 5940, 2210 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 5940, 2210 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 5940, 2210 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 5940, 2210 is 10.
HCF(5940, 2210) = 10
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5940, 2210 is 10.
Step 1: Since 5940 > 2210, we apply the division lemma to 5940 and 2210, to get
5940 = 2210 x 2 + 1520
Step 2: Since the reminder 2210 ≠ 0, we apply division lemma to 1520 and 2210, to get
2210 = 1520 x 1 + 690
Step 3: We consider the new divisor 1520 and the new remainder 690, and apply the division lemma to get
1520 = 690 x 2 + 140
We consider the new divisor 690 and the new remainder 140,and apply the division lemma to get
690 = 140 x 4 + 130
We consider the new divisor 140 and the new remainder 130,and apply the division lemma to get
140 = 130 x 1 + 10
We consider the new divisor 130 and the new remainder 10,and apply the division lemma to get
130 = 10 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 5940 and 2210 is 10
Notice that 10 = HCF(130,10) = HCF(140,130) = HCF(690,140) = HCF(1520,690) = HCF(2210,1520) = HCF(5940,2210) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5940, 2210?
Answer: HCF of 5940, 2210 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5940, 2210 using Euclid's Algorithm?
Answer: For arbitrary numbers 5940, 2210 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.