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 741, 425 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 741, 425 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 741, 425 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 741, 425 is 1.
HCF(741, 425) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 741, 425 is 1.
Step 1: Since 741 > 425, we apply the division lemma to 741 and 425, to get
741 = 425 x 1 + 316
Step 2: Since the reminder 425 ≠ 0, we apply division lemma to 316 and 425, to get
425 = 316 x 1 + 109
Step 3: We consider the new divisor 316 and the new remainder 109, and apply the division lemma to get
316 = 109 x 2 + 98
We consider the new divisor 109 and the new remainder 98,and apply the division lemma to get
109 = 98 x 1 + 11
We consider the new divisor 98 and the new remainder 11,and apply the division lemma to get
98 = 11 x 8 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 741 and 425 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(98,11) = HCF(109,98) = HCF(316,109) = HCF(425,316) = HCF(741,425) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 741, 425?
Answer: HCF of 741, 425 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 741, 425 using Euclid's Algorithm?
Answer: For arbitrary numbers 741, 425 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.