Highest Common Factor of 950, 774 using Euclid's algorithm
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 950, 774 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 950, 774 is 2 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 950, 774 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 950, 774 is 2.
HCF(950, 774) = 2
HCF of 950, 774 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 950, 774 is 2.
Highest Common Factor of 950,774 is 2
Step 1: Since 950 > 774, we apply the division lemma to 950 and 774, to get
950 = 774 x 1 + 176
Step 2: Since the reminder 774 ≠ 0, we apply division lemma to 176 and 774, to get
774 = 176 x 4 + 70
Step 3: We consider the new divisor 176 and the new remainder 70, and apply the division lemma to get
176 = 70 x 2 + 36
We consider the new divisor 70 and the new remainder 36,and apply the division lemma to get
70 = 36 x 1 + 34
We consider the new divisor 36 and the new remainder 34,and apply the division lemma to get
36 = 34 x 1 + 2
We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 950 and 774 is 2
Notice that 2 = HCF(34,2) = HCF(36,34) = HCF(70,36) = HCF(176,70) = HCF(774,176) = HCF(950,774) .
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Frequently Asked Questions on HCF of 950, 774 using Euclid's Algorithm
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 950, 774?
Answer: HCF of 950, 774 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 950, 774 using Euclid's Algorithm?
Answer: For arbitrary numbers 950, 774 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.