Highest Common Factor of 781, 112, 674 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 781, 112, 674 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 781, 112, 674 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 781, 112, 674 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 781, 112, 674 is 1.
HCF(781, 112, 674) = 1
HCF of 781, 112, 674 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 781, 112, 674 is 1.
Highest Common Factor of 781,112,674 is 1
Step 1: Since 781 > 112, we apply the division lemma to 781 and 112, to get
781 = 112 x 6 + 109
Step 2: Since the reminder 112 ≠ 0, we apply division lemma to 109 and 112, to get
112 = 109 x 1 + 3
Step 3: We consider the new divisor 109 and the new remainder 3, and apply the division lemma to get
109 = 3 x 36 + 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 781 and 112 is 1
Notice that 1 = HCF(3,1) = HCF(109,3) = HCF(112,109) = HCF(781,112) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 674 > 1, we apply the division lemma to 674 and 1, to get
674 = 1 x 674 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 674 is 1
Notice that 1 = HCF(674,1) .
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Frequently Asked Questions on HCF of 781, 112, 674 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 781, 112, 674?
Answer: HCF of 781, 112, 674 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 781, 112, 674 using Euclid's Algorithm?
Answer: For arbitrary numbers 781, 112, 674 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.