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 775, 994 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 775, 994 is 1 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 775, 994 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 775, 994 is 1.
HCF(775, 994) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 775, 994 is 1.
Step 1: Since 994 > 775, we apply the division lemma to 994 and 775, to get
994 = 775 x 1 + 219
Step 2: Since the reminder 775 ≠ 0, we apply division lemma to 219 and 775, to get
775 = 219 x 3 + 118
Step 3: We consider the new divisor 219 and the new remainder 118, and apply the division lemma to get
219 = 118 x 1 + 101
We consider the new divisor 118 and the new remainder 101,and apply the division lemma to get
118 = 101 x 1 + 17
We consider the new divisor 101 and the new remainder 17,and apply the division lemma to get
101 = 17 x 5 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 775 and 994 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(101,17) = HCF(118,101) = HCF(219,118) = HCF(775,219) = HCF(994,775) .
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 775, 994?
Answer: HCF of 775, 994 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 775, 994 using Euclid's Algorithm?
Answer: For arbitrary numbers 775, 994 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.