Highest Common Factor of 737, 932, 942 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 737, 932, 942 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 737, 932, 942 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 737, 932, 942 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 737, 932, 942 is 1.
HCF(737, 932, 942) = 1
HCF of 737, 932, 942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 737, 932, 942 is 1.
Highest Common Factor of 737,932,942 is 1
Step 1: Since 932 > 737, we apply the division lemma to 932 and 737, to get
932 = 737 x 1 + 195
Step 2: Since the reminder 737 ≠ 0, we apply division lemma to 195 and 737, to get
737 = 195 x 3 + 152
Step 3: We consider the new divisor 195 and the new remainder 152, and apply the division lemma to get
195 = 152 x 1 + 43
We consider the new divisor 152 and the new remainder 43,and apply the division lemma to get
152 = 43 x 3 + 23
We consider the new divisor 43 and the new remainder 23,and apply the division lemma to get
43 = 23 x 1 + 20
We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get
23 = 20 x 1 + 3
We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get
20 = 3 x 6 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 737 and 932 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(43,23) = HCF(152,43) = HCF(195,152) = HCF(737,195) = HCF(932,737) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 942 > 1, we apply the division lemma to 942 and 1, to get
942 = 1 x 942 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 942 is 1
Notice that 1 = HCF(942,1) .
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Frequently Asked Questions on HCF of 737, 932, 942 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 737, 932, 942?
Answer: HCF of 737, 932, 942 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 737, 932, 942 using Euclid's Algorithm?
Answer: For arbitrary numbers 737, 932, 942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
