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 4424, 6328 i.e. 56 the largest integer that leaves a remainder zero for all numbers.
HCF of 4424, 6328 is 56 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 4424, 6328 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 4424, 6328 is 56.
HCF(4424, 6328) = 56
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4424, 6328 is 56.
Step 1: Since 6328 > 4424, we apply the division lemma to 6328 and 4424, to get
6328 = 4424 x 1 + 1904
Step 2: Since the reminder 4424 ≠ 0, we apply division lemma to 1904 and 4424, to get
4424 = 1904 x 2 + 616
Step 3: We consider the new divisor 1904 and the new remainder 616, and apply the division lemma to get
1904 = 616 x 3 + 56
We consider the new divisor 616 and the new remainder 56, and apply the division lemma to get
616 = 56 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 56, the HCF of 4424 and 6328 is 56
Notice that 56 = HCF(616,56) = HCF(1904,616) = HCF(4424,1904) = HCF(6328,4424) .
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 4424, 6328?
Answer: HCF of 4424, 6328 is 56 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4424, 6328 using Euclid's Algorithm?
Answer: For arbitrary numbers 4424, 6328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.