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 8978, 737 i.e. 67 the largest integer that leaves a remainder zero for all numbers.
HCF of 8978, 737 is 67 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 8978, 737 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 8978, 737 is 67.
HCF(8978, 737) = 67
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8978, 737 is 67.
Step 1: Since 8978 > 737, we apply the division lemma to 8978 and 737, to get
8978 = 737 x 12 + 134
Step 2: Since the reminder 737 ≠ 0, we apply division lemma to 134 and 737, to get
737 = 134 x 5 + 67
Step 3: We consider the new divisor 134 and the new remainder 67, and apply the division lemma to get
134 = 67 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 67, the HCF of 8978 and 737 is 67
Notice that 67 = HCF(134,67) = HCF(737,134) = HCF(8978,737) .
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 8978, 737?
Answer: HCF of 8978, 737 is 67 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8978, 737 using Euclid's Algorithm?
Answer: For arbitrary numbers 8978, 737 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.