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 480, 688 i.e. 16 the largest integer that leaves a remainder zero for all numbers.
HCF of 480, 688 is 16 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 480, 688 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 480, 688 is 16.
HCF(480, 688) = 16
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 480, 688 is 16.
Step 1: Since 688 > 480, we apply the division lemma to 688 and 480, to get
688 = 480 x 1 + 208
Step 2: Since the reminder 480 ≠ 0, we apply division lemma to 208 and 480, to get
480 = 208 x 2 + 64
Step 3: We consider the new divisor 208 and the new remainder 64, and apply the division lemma to get
208 = 64 x 3 + 16
We consider the new divisor 64 and the new remainder 16, and apply the division lemma to get
64 = 16 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 16, the HCF of 480 and 688 is 16
Notice that 16 = HCF(64,16) = HCF(208,64) = HCF(480,208) = HCF(688,480) .
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 480, 688?
Answer: HCF of 480, 688 is 16 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 480, 688 using Euclid's Algorithm?
Answer: For arbitrary numbers 480, 688 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.