Highest Common Factor of 734, 944 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 734, 944 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 734, 944 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 734, 944 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 734, 944 is 2.
HCF(734, 944) = 2
HCF of 734, 944 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 734, 944 is 2.
Highest Common Factor of 734,944 is 2
Step 1: Since 944 > 734, we apply the division lemma to 944 and 734, to get
944 = 734 x 1 + 210
Step 2: Since the reminder 734 ≠ 0, we apply division lemma to 210 and 734, to get
734 = 210 x 3 + 104
Step 3: We consider the new divisor 210 and the new remainder 104, and apply the division lemma to get
210 = 104 x 2 + 2
We consider the new divisor 104 and the new remainder 2, and apply the division lemma to get
104 = 2 x 52 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 734 and 944 is 2
Notice that 2 = HCF(104,2) = HCF(210,104) = HCF(734,210) = HCF(944,734) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 734, 944 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 734, 944?
Answer: HCF of 734, 944 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 734, 944 using Euclid's Algorithm?
Answer: For arbitrary numbers 734, 944 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.