Highest Common Factor of 732, 932, 624, 620 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 732, 932, 624, 620 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 732, 932, 624, 620 is 4 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 732, 932, 624, 620 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 732, 932, 624, 620 is 4.
HCF(732, 932, 624, 620) = 4
HCF of 732, 932, 624, 620 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 732, 932, 624, 620 is 4.
Highest Common Factor of 732,932,624,620 is 4
Step 1: Since 932 > 732, we apply the division lemma to 932 and 732, to get
932 = 732 x 1 + 200
Step 2: Since the reminder 732 ≠ 0, we apply division lemma to 200 and 732, to get
732 = 200 x 3 + 132
Step 3: We consider the new divisor 200 and the new remainder 132, and apply the division lemma to get
200 = 132 x 1 + 68
We consider the new divisor 132 and the new remainder 68,and apply the division lemma to get
132 = 68 x 1 + 64
We consider the new divisor 68 and the new remainder 64,and apply the division lemma to get
68 = 64 x 1 + 4
We consider the new divisor 64 and the new remainder 4,and apply the division lemma to get
64 = 4 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 732 and 932 is 4
Notice that 4 = HCF(64,4) = HCF(68,64) = HCF(132,68) = HCF(200,132) = HCF(732,200) = HCF(932,732) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 624 > 4, we apply the division lemma to 624 and 4, to get
624 = 4 x 156 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 624 is 4
Notice that 4 = HCF(624,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 620 > 4, we apply the division lemma to 620 and 4, to get
620 = 4 x 155 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 4 and 620 is 4
Notice that 4 = HCF(620,4) .
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Frequently Asked Questions on HCF of 732, 932, 624, 620 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 732, 932, 624, 620?
Answer: HCF of 732, 932, 624, 620 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 732, 932, 624, 620 using Euclid's Algorithm?
Answer: For arbitrary numbers 732, 932, 624, 620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
