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 147, 784 i.e. 49 the largest integer that leaves a remainder zero for all numbers.
HCF of 147, 784 is 49 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 147, 784 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 147, 784 is 49.
HCF(147, 784) = 49
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 147, 784 is 49.
Step 1: Since 784 > 147, we apply the division lemma to 784 and 147, to get
784 = 147 x 5 + 49
Step 2: Since the reminder 147 ≠ 0, we apply division lemma to 49 and 147, to get
147 = 49 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 49, the HCF of 147 and 784 is 49
Notice that 49 = HCF(147,49) = HCF(784,147) .
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 147, 784?
Answer: HCF of 147, 784 is 49 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 147, 784 using Euclid's Algorithm?
Answer: For arbitrary numbers 147, 784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.