Highest Common Factor of 748, 109, 431, 445 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 748, 109, 431, 445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 748, 109, 431, 445 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 748, 109, 431, 445 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 748, 109, 431, 445 is 1.
HCF(748, 109, 431, 445) = 1
HCF of 748, 109, 431, 445 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 748, 109, 431, 445 is 1.
Highest Common Factor of 748,109,431,445 is 1
Step 1: Since 748 > 109, we apply the division lemma to 748 and 109, to get
748 = 109 x 6 + 94
Step 2: Since the reminder 109 ≠ 0, we apply division lemma to 94 and 109, to get
109 = 94 x 1 + 15
Step 3: We consider the new divisor 94 and the new remainder 15, and apply the division lemma to get
94 = 15 x 6 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 748 and 109 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(94,15) = HCF(109,94) = HCF(748,109) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 431 > 1, we apply the division lemma to 431 and 1, to get
431 = 1 x 431 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 431 is 1
Notice that 1 = HCF(431,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 445 > 1, we apply the division lemma to 445 and 1, to get
445 = 1 x 445 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 445 is 1
Notice that 1 = HCF(445,1) .
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Frequently Asked Questions on HCF of 748, 109, 431, 445 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 748, 109, 431, 445?
Answer: HCF of 748, 109, 431, 445 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 748, 109, 431, 445 using Euclid's Algorithm?
Answer: For arbitrary numbers 748, 109, 431, 445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
