Highest Common Factor of 937, 774, 922 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 937, 774, 922 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 937, 774, 922 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 937, 774, 922 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 937, 774, 922 is 1.
HCF(937, 774, 922) = 1
HCF of 937, 774, 922 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 937, 774, 922 is 1.
Highest Common Factor of 937,774,922 is 1
Step 1: Since 937 > 774, we apply the division lemma to 937 and 774, to get
937 = 774 x 1 + 163
Step 2: Since the reminder 774 ≠ 0, we apply division lemma to 163 and 774, to get
774 = 163 x 4 + 122
Step 3: We consider the new divisor 163 and the new remainder 122, and apply the division lemma to get
163 = 122 x 1 + 41
We consider the new divisor 122 and the new remainder 41,and apply the division lemma to get
122 = 41 x 2 + 40
We consider the new divisor 41 and the new remainder 40,and apply the division lemma to get
41 = 40 x 1 + 1
We consider the new divisor 40 and the new remainder 1,and apply the division lemma to get
40 = 1 x 40 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 937 and 774 is 1
Notice that 1 = HCF(40,1) = HCF(41,40) = HCF(122,41) = HCF(163,122) = HCF(774,163) = HCF(937,774) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 922 > 1, we apply the division lemma to 922 and 1, to get
922 = 1 x 922 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 922 is 1
Notice that 1 = HCF(922,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 937, 774, 922 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 937, 774, 922?
Answer: HCF of 937, 774, 922 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 937, 774, 922 using Euclid's Algorithm?
Answer: For arbitrary numbers 937, 774, 922 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.