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 744, 4370 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 744, 4370 is 2 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 744, 4370 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 744, 4370 is 2.
HCF(744, 4370) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 744, 4370 is 2.
Step 1: Since 4370 > 744, we apply the division lemma to 4370 and 744, to get
4370 = 744 x 5 + 650
Step 2: Since the reminder 744 ≠ 0, we apply division lemma to 650 and 744, to get
744 = 650 x 1 + 94
Step 3: We consider the new divisor 650 and the new remainder 94, and apply the division lemma to get
650 = 94 x 6 + 86
We consider the new divisor 94 and the new remainder 86,and apply the division lemma to get
94 = 86 x 1 + 8
We consider the new divisor 86 and the new remainder 8,and apply the division lemma to get
86 = 8 x 10 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 744 and 4370 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(86,8) = HCF(94,86) = HCF(650,94) = HCF(744,650) = HCF(4370,744) .
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 744, 4370?
Answer: HCF of 744, 4370 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 744, 4370 using Euclid's Algorithm?
Answer: For arbitrary numbers 744, 4370 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.