Highest Common Factor of 907, 801, 435, 279 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 907, 801, 435, 279 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 907, 801, 435, 279 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 907, 801, 435, 279 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 907, 801, 435, 279 is 1.
HCF(907, 801, 435, 279) = 1
HCF of 907, 801, 435, 279 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 907, 801, 435, 279 is 1.
Highest Common Factor of 907,801,435,279 is 1
Step 1: Since 907 > 801, we apply the division lemma to 907 and 801, to get
907 = 801 x 1 + 106
Step 2: Since the reminder 801 ≠ 0, we apply division lemma to 106 and 801, to get
801 = 106 x 7 + 59
Step 3: We consider the new divisor 106 and the new remainder 59, and apply the division lemma to get
106 = 59 x 1 + 47
We consider the new divisor 59 and the new remainder 47,and apply the division lemma to get
59 = 47 x 1 + 12
We consider the new divisor 47 and the new remainder 12,and apply the division lemma to get
47 = 12 x 3 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 907 and 801 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(47,12) = HCF(59,47) = HCF(106,59) = HCF(801,106) = HCF(907,801) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 435 > 1, we apply the division lemma to 435 and 1, to get
435 = 1 x 435 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 435 is 1
Notice that 1 = HCF(435,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 279 > 1, we apply the division lemma to 279 and 1, to get
279 = 1 x 279 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 279 is 1
Notice that 1 = HCF(279,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 907, 801, 435, 279 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 907, 801, 435, 279?
Answer: HCF of 907, 801, 435, 279 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 907, 801, 435, 279 using Euclid's Algorithm?
Answer: For arbitrary numbers 907, 801, 435, 279 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.