Highest Common Factor of 5940, 3250 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 5940, 3250 i.e. 10 the largest integer that leaves a remainder zero for all numbers.
HCF of 5940, 3250 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, 3250 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, 3250 is 10.
HCF(5940, 3250) = 10
HCF of 5940, 3250 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5940, 3250 is 10.
Highest Common Factor of 5940,3250 is 10
Step 1: Since 5940 > 3250, we apply the division lemma to 5940 and 3250, to get
5940 = 3250 x 1 + 2690
Step 2: Since the reminder 3250 ≠ 0, we apply division lemma to 2690 and 3250, to get
3250 = 2690 x 1 + 560
Step 3: We consider the new divisor 2690 and the new remainder 560, and apply the division lemma to get
2690 = 560 x 4 + 450
We consider the new divisor 560 and the new remainder 450,and apply the division lemma to get
560 = 450 x 1 + 110
We consider the new divisor 450 and the new remainder 110,and apply the division lemma to get
450 = 110 x 4 + 10
We consider the new divisor 110 and the new remainder 10,and apply the division lemma to get
110 = 10 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 10, the HCF of 5940 and 3250 is 10
Notice that 10 = HCF(110,10) = HCF(450,110) = HCF(560,450) = HCF(2690,560) = HCF(3250,2690) = HCF(5940,3250) .
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Frequently Asked Questions on HCF of 5940, 3250 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 5940, 3250?
Answer: HCF of 5940, 3250 is 10 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5940, 3250 using Euclid's Algorithm?
Answer: For arbitrary numbers 5940, 3250 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.