Highest Common Factor of 757, 874, 831, 354 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 757, 874, 831, 354 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 757, 874, 831, 354 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 757, 874, 831, 354 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 757, 874, 831, 354 is 1.
HCF(757, 874, 831, 354) = 1
HCF of 757, 874, 831, 354 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 757, 874, 831, 354 is 1.
Highest Common Factor of 757,874,831,354 is 1
Step 1: Since 874 > 757, we apply the division lemma to 874 and 757, to get
874 = 757 x 1 + 117
Step 2: Since the reminder 757 ≠ 0, we apply division lemma to 117 and 757, to get
757 = 117 x 6 + 55
Step 3: We consider the new divisor 117 and the new remainder 55, and apply the division lemma to get
117 = 55 x 2 + 7
We consider the new divisor 55 and the new remainder 7,and apply the division lemma to get
55 = 7 x 7 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 757 and 874 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(55,7) = HCF(117,55) = HCF(757,117) = HCF(874,757) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 831 > 1, we apply the division lemma to 831 and 1, to get
831 = 1 x 831 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 831 is 1
Notice that 1 = HCF(831,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 354 > 1, we apply the division lemma to 354 and 1, to get
354 = 1 x 354 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 354 is 1
Notice that 1 = HCF(354,1) .
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Frequently Asked Questions on HCF of 757, 874, 831, 354 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 757, 874, 831, 354?
Answer: HCF of 757, 874, 831, 354 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 757, 874, 831, 354 using Euclid's Algorithm?
Answer: For arbitrary numbers 757, 874, 831, 354 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.